Question

If x²+1/x²=62, find the value of x+1/x

Answer 1

I hope this will help you buddy

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Answer 2

Answer:

Given

(X * X + 1 ) /(X*X) = 83

=> [ (X*X) / (X*X) ] + [ 1 / (X*X) ] = 83

=> 1 + [ 1 / (X*X) ] = 83

=> [ 1 / [ X*X] ]=82 ——————————-(A)

=> (X*X) = [ 1 /82 ]

square root both side we get

=> X = ± (1/ √82)

=> 1 / X = ± (√82) ———————————-(B)

Now

(X*X*X + 1 ) / (X*X*X)

=> [ (X*X*X) / (X*X*X) ] + [ 1 / (X*X*X) ]

=> 1 + [ 1 / (X*X*X) ]

=> 1 + [ 1 / ( (X*X) *X) ]

=> 1 + [ ( 1 / ( (X*X) ) * (1 / X) ]

=> 1 + [ ( 82) * ( ± (√82) ) ] ——————————-From A and B

=> 1 ± [ 82 * (√82) ]

in place of 83 you have to use 62 and the steps remain the same