Question

If x + 1/x = 5 find the value of x +^2+1/x^2​

Answer 1

Step-by-step explanation:

if x+1/x=5

(x+1/x) ^2=5^2 (square on both sides)

x^2+1/x^2+2=25

x^2+1/x^2=23

pls mark brainliest

Answer 2

Step-by-step explanation:

$\huge\bf{\mid{\overline{\underline{ANSWER:-}}\mid}}$

$\huge\bold{GIVEN:-} \\ \\ x + \frac{1}{x} = 5 \\ \\ \huge\bold{To find:-} \\ \\ {x}^{2} + \frac{1}{{x}^{2}} = ? \\ \\ x + \frac{1}{x} = 5 \\ \\ Squaring \: on \: both \: sides.. \\ \\ x + \frac{1}{{x}^{2}} = 25 \\ \\ {x}^{2} + 2 + \frac{1}{{x}^{2} } = 25 \\ \\ \huge{\boxed{\boxed{\boxed{ {x}^{2} + \frac{1}{{x}^{2}} = 23}}}}$

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