Question

If x^2+1\x^2=53, then find the value of x-
1

Answer 1

Answer:

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Step-by-step explanation:

given,. x^2 + 1/x^2. = 53

( X + 1 / X )^2 - 2•x•1/X = 53 formula

( X + 1 / X )^2. = 55

( X + 1 / X ) = √55.................1

again,. x^2 + 1/x^2. = 53

( X - 1/X )^2 + 2•x•1/X. = 53. formula

( X - 1/X )^2 = 51

( X - 1/X ) = √51 .....................2

1 +2 ........

2x = √55 + √51

X = ( √51 + √55 ) ÷ 2

X - 1 = ( √51 + √55 - 2 ) ÷ 2

Ans

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