Question

If (x+1/x) =6 find the value (x²+1/x²)​

Answer 1

Answer:

34

Step-by-step explanation:

${ x}^{2} + \frac{1}{ {x}^{2} } = {(x + \frac{1}{x}) }^{2} - 2 \\ = {6}^{2} - 2 \\ = 36 - 2 \\ = 34$

Answer 2

Answer:

34 is the answer

Step-by-step explanation:

x+1/x = 6

Squaring both sides,

(x+1/x)² = 6²

=> x² + (2.x.1/x) +1/x² = 6² (By the formula of (a+b)²)

=> x² + 2 + 1/x² = 36

=> x² +1/x² = 36-2

=> x² + 1/x² = 34