Question

Check whether $x^2+\frac{1}{2}x=0$ 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 $x^2+\frac{1}{2}x=0$ which can be rewritten as $x^2+\frac{1}{2}x+0=0$ and therefore it is of the form $a{x}^2+bx+c=0$.

Hence, the equation $x^2+\frac{1}{2}x=0$ is a quadratic equation.