{"id":14001,"date":"2023-05-28T15:14:31","date_gmt":"2023-05-28T15:14:31","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=14001"},"modified":"2023-12-21T09:36:27","modified_gmt":"2023-12-21T09:36:27","slug":"what-are-the-solutions-of-the-equation-x4-95x2-500-0-use-factoring-to-solve","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/what-are-the-solutions-of-the-equation-x4-95x2-500-0-use-factoring-to-solve\/","title":{"rendered":"What are the solutions of the equation x4 + 95×2 \u2013 500 = 0? use factoring to solve."},"content":{"rendered":"

x=+- sqrt 5 and x = \u00b110
\nx=+- sqrt i5 and x = \u00b110i
\nx=+- sqrt 5 and x = \u00b110i
\nx=+- sqrt i5 and x = \u00b110<\/p>\n

Answer:-\u00a0<\/strong><\/p>\n

Given<\/strong><\/p>\n

The equation in the form<\/p>\n

x^4 +95x^2-500=0<\/p>\n

Find the factor of the overhead equation<\/p>\n

To proof<\/p>\n

factoring the above equation<\/p>\n

we receive<\/p>\n

x^4+100x25x2-500=0<\/p>\n

x\u00b2(x\u00b2 + 100)-5(x\u00b2 +100) = 0<\/p>\n

(x\u00b2 – 5)(x\u00b2 + 100) = 0<\/p>\n

now solving the equation, we get the value<\/p>\n

x^2 =5<\/p>\n

x^2 =- 100<\/p>\n

x= +root\u00a0 5<\/p>\n

x= root -100<\/p>\n

The factor of the equation is<\/p>\n

x = + root 5<\/p>\n

x= + 10ix<\/p>\n

Henceforth proved<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

x=+- sqrt 5 and x = \u00b110 x=+- sqrt i5 and x = \u00b110i x=+- sqrt 5 and x = \u00b110i x=+- sqrt i5 and […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"yoast_head":"\nWhat are the solutions of the equation x4 + 95x2 \u2013 500 = 0? use factoring to solve. 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