Question

Check whether $\sqrt{2}{x}^2+3x=0$ is a quadratic equation.

Answer 1

We know that the general form of quadratic equation is $a{x}^2+bx+c=0$.

The given equation is $\sqrt{2}{x}^2+3x=0$ which can be rewritten as $\sqrt{2}{x}^2+3x+0=0$ and therefore it is of the form $a{x}^2+bx+c=0$.

Hence, the equation $\sqrt{2}{x}^2+3x=0$ is a quadratic equation.