Question

If x+1/x=3 then x²+1/X2 = _____
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Answer 1

Answer:

Step-by-step explanation:

X + 1/x = 3…(i)

We know , (X+1/x)^2 = x^2 + (1/x)^2 + 2(x * 1/x)

=> (X+1/x)^2 = x^2 + (1/x)^2 + 2

Substituting value from (i) (3)^2 = x^2+(1/x)^2+2

= 9–2 = x^2+(1/x)^2

Ans. X^2 + (1/x)^2 = 7.

Answer 2

Answer:

x²+1/x²= 7

Step-by-step explanation:

Given ,X+1/X=3

Hence ,(X+1/X)²= x²+1/x²+2

Or,3²= x²+1/x²+2

Or,x²+1/x²= 9-2= 7