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Quadratic Equations

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June 15, 2021 11:25 am

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Staff

(@armor)

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$x^2-4x+5=0\Rightarrow x^2+\frac{25}{x^2}=?$

$A) 5$

$B)6$

$C)8$

$D)9$

$E)10$

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1 Answer

June 15, 2021 11:25 am

Topic starter

Staff

(@armor)

Admin

Honorable Member

317 Posts
156 153 0

$\small x^2-4x+5=0\Rightarrow (x^2+5)^2=(4x)^2$

$\small =x^4+25+10x^2=16x^2$

$\small x^2+\frac{25}{x^2}=\frac{x^4+25}{x^2}=\frac{6x^2}{x^2}=6.$

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