Question

lf x-1/x =7, find the value of (x^2+1/x^2)​

Answer 1

Answer:x²+1/x² = 51

Step-by-step explanation: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 (1)]

= 49+2

= 51

Therefore,

x²+1/x² = 51

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Answer 2

Answer:

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See the attachment

Step-by-step explanation:

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