Math, asked by bhowmikdham, 1 year ago

if x2+1/x2=11 find the value of x4+1/x4​

Answers

Answered by RajRockers
7

the answer is 119. hope it will help you please add me as a brainlist

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bhowmikdham: i think it should be 123
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RajRockers: incorrect
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sam7544: I hope my answer is right
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Answered by sam7544
8

Step-by-step explanation:

x^2 + 1/x^2 = 11

=>( x^2 + 1/x^2 )^2 = 11^2

=>x^4 + 1/x^4 + 2 × x^2 × 1/x^2 = 121

=>x^4 + 1/x^4 + 2 = 121

=>x^4 + 1/x^4 = 121 - 2

=> x^4 + 1/x^4 = 119

there fore,

x4+1/x4 = 119

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