Question

X+1/x= 20 then x2+1/x2= ??

Answer 1

$\sf{\large{\underline{\boxed{\pink{\mathsf{♡ Question ♡}}}}}}$

• if $x + \dfrac{1}{x} = 20$ then find $x^2 + \dfrac{1}{x^2}$

$\sf{\large{\underline{\boxed{\pink{\mathsf{♡ Solution ♡}}}}}}$

$\sf{\large{\underline{\boxed{\blue{\mathbb{( x +\dfrac{1}{x})^2 = x ^2 + \dfrac{1}{x^2} + 2 }}}}}}$

$\implies 20 ^2 = x^2 + \dfrac{1}{x^2} + 2$

$\implies 400 = x^2 + \dfrac{1}{x^2} + 2$

$\implies 400 - 2 = x^2 + \dfrac{1}{x^2}$

$\implies 398 = x^2 + \dfrac{1}{x^2}$

$\sf{\large{\underline{\boxed{\orange{\mathsf{x^2 + \dfrac{1}{x^2} = 398 }}}}}}$

Answer 2

Pls mark as brainliest answer