Question

Q4. If x-1/x=6 find the value of x2+1/x2​

Answer 1

Answer:

Step by Step:

so,

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

hence, value of x²+(1/x²) = 34

Answer 2

Hello Mate!

$answer = 34$

1 X x + 6

On squaring both sides we get,

2 (x + ¹)² = 1 X 6²

1 2² +²2+ 2(x) ( ² ) = 36

1 =

x² + 1 34

Identity I used =

(a + b)² = a² + b² + 2ab

Hence answer is 34

Have great future ahead!