Question

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

• A. True
• B. False

Answer 1

The correct option is B False

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

Multiplying both sides by $x^2$,

$\Rightarrow$ $x^4+1=2x^2$

$\Rightarrow$ $x^4-2x^2+1=0$

$\Rightarrow$ A quadratic equation is an equation of the second degree, as this equation has degree $4$ so it can not be a quadratic equation

$\therefore$ The equation $x^4-2x^2+1=0$ is not quadratic equation.