Question

Find the value of x^2 + 1/x^2 if x+1/x =5
My answer is 123 but in da book it's 23
please help​

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = 23$

Step-by-step explanation:

Kindly refer to the attachment.

Hope it helps:)

Answer 2

Answer:

• The value of x + 1/x is 23.

Step-by-step explanation:

Given,

• x + 1/x = 5

To Find,

• The value of x² + 1/x².

Solution,

$: \implies \tt x + \frac{1}{x} = 5$

Squaring Both Sides,

$: \implies \tt x + \frac{1}{x} = 5 \\ \\ : \implies \tt {( {x} + \frac{1}{x} ) }^{2} = {5}^{2}$

Identity 1 : (a + b)² = a² + 2ab + b²

$: \implies \tt {(x + \frac{1}{x}) }^{2} = 25 \\ \\ : \implies \tt {x}^{2} + 2(x)( \frac{1}{x} ) + {( \frac{1}{x} )}^{2} = 25 \\ \\ : \implies \tt {x}^{2} + 2 + \frac{1}{x ^{2} } = 25 \\ \\ : \implies \color{red}\boxed{\tt {x}^{2} + \frac{1}{ {x}^{2} } = 23}$

Required Answer,

• The value of x + 1/x is 23.