Question

if x^2+1/x^2=51 , find the value of x-1/x​

Answer 1

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = 51 \\ {(x - \frac{1}{x}) }^{2} + 2 \times x \times \frac{1}{x} = 51 \\ {(x - \frac{1}{x}) }^{2} = 51 - 2 = 49 \\ x - \frac{1}{x} = \sqrt{49} = 7$

hope it helps you