Question

x+1/x=2 find value of x^2+1/x^2

Answer 1

Answer:

2

Step-by-step explanation:

Given,

x+1/x=2

We know that (a+b)²=a²+2ab+b²

Squaring both the sides,

x²+ 2*X*1/X + (1/x)= 2²

x²+2+1/x²= 4

x²+1/x²=4-2 =2

Hope it helps u :)

Answer 2

Answer:

Hello mate✌✌✌

$x + \frac{1}{x} = 2$

Squaring both sides, we get

${(x + \frac{1}{x}) }^{2} = {(2) }^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2.x. \frac{1}{x} = 4 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 4 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 4 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 2$

Hope it helps✌✌✌