Question

if X + 1 by X = 4 then find the value of x square + 1 by x square​

Answer 1

Answer: 14

Step-by-step explanation:

x + 1/x = 4

Squaring both sides,

(x+1/x)2=42(x+1/x)2=42

or x2+(1/x2)+2=16x2+(1/x2)+2=16

or x2+(1/x2)=14

Answer 2

Step-by-step explanation:

$x + \frac{1}{x} = 4 \\ \\ sobs \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 16 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 14 \\ \\ since \\ \\ {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$

hope it helps