Question

X-1/x=5 value of x^2+1/x^2

Answer 1

Answer:

x-1/x=5

squaring both sides

(x-1/x)²=5²

x²+1/x²-2=25

x²+1/x²=27

Step-by-step explanation:

Answer 2

$\huge\mathfrak{Answer:}$

$x - \frac{1}{x} = 5 \\ {(x - \frac{1}{x}) }^{2} = {x}^{2} + { \frac{1}{x} }^{2} - 2x \times \frac{1}{x} \\ {(5)}^{2} = {x}^{2} + { \frac{1}{x} }^{2} - 2 \\ 25 + 2 = {x}^{2} + { \frac{1}{x} }^{2} \\ {x}^{2} + { \frac{1}{x} }^{2} = 27$