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  • Maths Online Test Class 8
  • If x + \frac{1}{x} =2, then x2 + \frac{1}{x^2} is
Multiple choice

If x + \frac{1}{x} =2, then x2 + \frac{1}{x^2} is

  1. 0

  2. 4

  3. 2

  4. 6

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given x + 1/x = 2, square both sides: (x + 1/x)^2 = 2^2, which is x^2 + 2(x)(1/x) + 1/x^2 = 4. This simplifies to x^2 + 2 + 1/x^2 = 4, so x^2 + 1/x^2 = 2.

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