Question 146

If $$x + \frac{1}{x} = 8$$,then $$x^2 + \frac{1}{x^2}$$ is equalto:

Solution

Share

$$\left(x+\frac{1}{x}\right)^{2\ }=x^2+\frac{1}{x^2}+2x.\ \frac{1}{x}$$

$$64=x^2+\frac{1}{x^2}+2$$

$$64\ -\ 2=x^2+\frac{1}{x^2}$$

$$62=x^2+\frac{1}{x^2}$$

Get AI Help

View More Questions From Arithmetic

Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

Free SSC Quant Questions

SSC Data InterpretationSSC GeometrySSC Linear EquationsSSC Number SystemsSSC Quadratic EquationsSSC TrigonometrySSC AgesSSC Arithmetic

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now
Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.