Math, asked by khushpreet50, 9 months ago

if x+x raise to power-1 =10 (x is not equal to 0) then evaluate x square + x raise to power -2
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Answers

Answered by SaakshiNB
2

Answer:

Hope it helps !!

Pls mark brainliest!!

Step-by-step explanation:

x+x^{-1}=10\\\\\\x^{-1}~can~also~be~written~as~\frac{1}{x}\\\\\\Therefore,\\\\\\x+\frac{1}{x}=10\\\\\\We~need~to~find:\\\\\\x^2+x^{-2}=x^2+\frac{1}{x^2}

By formula :

(x+\frac{1}{x})^2=x^2+\frac{1}{x^2}+2

Now substitute :

(x+\frac{1}{x})^2=x^2+\frac{1}{x^2}+2\\\\\\(10)^2=x^2+\frac{1}{x^2}+2\\\\\\100=x^2+\frac{1}{x^2}+2\\\\\\100-2=x^2+\frac{1}{x^2}\\\\\\98=x^2+\frac{1}{x^2}\\\\\\98=x^2+x^{-2}~[required~answer]

Answered by GujjarBoyy
7

Step-by-step explanation:

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