Question

( X+1/x) =4 solve (x×x+1/x×x) =?

Answer 1

Step-by-step explanation:

x+1/x=4

squaring both sides

(x+1/x)²=16

x²+1/x²+2=16

x²+1/x²=14

Answer 2

Solution →

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

Given →

$x + \frac{1}{x} = 4$

Squaring of the both sides of the equation →

${(x + \frac{1}{x}) }^{2} = {(4)}^{2}$

${x}^{2} + \frac{ 1 }{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 16$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 16$

${x}^{2} + \frac{1}{ {x}^{2} } = 16 - 2$

$\boxed{\red{ {x}^{2} + \frac{1}{ {x}^{2} } = 14}}$

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