Question

Can anyone help me with this question!!!
pls help ​

Answer 1

Answer:

x²+1/x²=51

Explanation

given

x-1/x=7 ..............1

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we know the algebraic identity:

a²+b²- 2ab=(a-b)²

or

a²+b²=(a-b)²+2ab

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Now

x²+1/x²

=(x-1/x)²+2*x*(1/x)

=(x-1/x)²+2

=7²+2 (from......2)

=49+2

=51

Therefore

x²+1/x²=51