Multiple choice

Check whether the given equation is a quadratic equation or not. $\quad { x }^{ 2 }+\cfrac { 1 }{ { x }^{ 2 } } =2\quad $

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The equation x^2 + 1/x^2 = 2 can be rewritten as x^4 - 2x^2 + 1 = 0, which is (x^2 - 1)^2 = 0. This is a biquadratic equation, not a quadratic equation in x.

AI explanation

Clear the fraction in the given equation x^2 + 1/x^2 = 2 by multiplying all terms by x^2 to get x^4 + 1 = 2x^2. Rearranging this yields x^4 - 2x^2 + 1 = 0, which is a fourth-degree polynomial equation rather than a second-degree equation. Therefore, it is not a quadratic equation.

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