Question

32.
If x + 1/x = 20 find the value of x² + 1/x²​

Answer 1

Answer:

$\bold\red{398}$

Step-by-step explanation:

We have to find the value of

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

Given,

$x + \frac{1}{x} = 20$

Squaring both sides,

we get,

${(x + \frac{1}{x} )}^{2} = {(20)}^{2} \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 400 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 400 - 2 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 398$

Hence,

Value = 398