Math, asked by Shahnawaz786, 1 year ago

(x+1/x)=9and(x^2+1/x^2)=53,find the value of x-1/x

Answers

Answered by Noah11
1
Answer is Sq. Rt of 51,

Here is how, As we know,

(a−b)2=a2+b2−2∗a∗b(a−b)2=a2+b2−2∗a∗b

Therefore,

(x−1/x)2=x2+(1/x)2−2∗x∗(1/x)(x−1/x)2=x2+(1/x)2−2∗x∗(1/x)

=53−2=53−2

=51=51

therefore, x - 1/x = Sq. Rt of 51

Hope it helps!!

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