Question

Check whether the given equation is a quadratic equation.
$x+\frac{3}{x}=x^2$

Answer 1

$x+\frac{3}{x}=x^2$
$\Rightarrow \frac{x^2+3}{x}=x^2\Rightarrow x^2+3x^3\Rightarrow x^3-x^2-3=0$
Clearly, $x^3-x^2-3$ being a polynomial of degree $3$, is not a quadratic polynomial.

So, the given equation is not a quadratic equation.