Question

x-¹/x = √5, find x²+¹/x²​

Answer 1

Answer:

we have

x-1/x = √5.....1

to solve

x²+1/x²

Squaring L.H.S. we get

(x-1/x)² = x²+1/x²-2*x*1/x

(x-1/x)² = x²+1/x²-2

(√5)² = x²+1/x²-2

5 = x²+1/x²-2

3 = x²+1/x²

Since, x²+1/x² = 3

Answer 2

Step-by-step explanation:

given,

x-1/X=5

(x-1/X)^2=x^2+1/x^2-2×x×1/X

25=x^2+1/x^2-2

so,x^2+1/x^2=27

hope it helps you

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