Problem 47563. Find a real root of a quintic function

Created by Mehmet OZC

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>g(x) = ax^5 + bx^4 + cx^3 +dx^2 + e^x + f</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[input = [a b c d e f];\n]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[input = [6 8 7 9 12 467];]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>means</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>g(x) = 6x^5+8x^4+7x^3+9x^2+12x+467</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>a possible solution is</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[x = -2.628054656;\ng(x) = -5.665150411005015e-07]]></w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

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" width="234.5" height="20" style="width: 234.5px; height: 20px;"></span></div><div style="background-color: rgb(247, 247, 247); block-size: 40px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20px; transform-origin: 404px 20px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">input = [a b c d e f];</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; "></span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">For example;</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 20px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10px; transform-origin: 404px 10px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">input = [6 8 7 9 12 467];</span></span></div></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">means</span></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="257.5" height="20" style="width: 257.5px; height: 20px;"></span></div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">a possible solution is</span></span></div><div style="background-color: rgb(247, 247, 247); block-size: 40px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20px; transform-origin: 404px 20px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; "><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">x = -2.628054656;</span></span></div><div style="background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; "><span style="block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; "><span style="margin-inline-end: 0px; margin-right: 0px; ">g(x) = -5.665150411005015e-07</span></span></div></div></div></div>

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Problem 47563. Find a real root of a quintic function

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