Question

if X + 1 / x =8 find the value of x square + 1 / x square

Answer 1

(x+1/x)^2=x^2+1/x2+2
(8)^2 =x^2+1/x^2+2
64-2=x^2+1/x^2
62 =x^2+1/x^2
THANK YOU

Answer 2

$\Large\bf\underline\red{Hola \ !!!}$

$\huge {\underline{\pink{Ans.}}}$ ❤

$\huge{Given}$

x+$\frac{1}{x}$=8

On Squaring both sides:-

➾(x+ $\frac{1}{x}$)²=(8)²

➾x²+ $\frac{1}{x²}$ +2×x× $\frac{1}{x}$=64

➾x²+ $\frac{1}{x²}$ +2=64

➾x²+ $\frac{1}{x²}$ =64-2

➾x²+ $\frac{1}{x²}$=62

Therefore the value of x²+ $\frac{1}{x²}$=62

Hope it's helpful ✔️