Question

Check whether $5-6x=\frac{2}{5}{x}^2$ 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 $5-6x=\frac{2}{5}{x}^2$ which can be rewritten as $\frac{2}{5}{x}^2+6x-5=0$ and therefore it is of the form $a{x}^2+bx+c=0$.

Hence, the equation $5-6x=\frac{2}{5}{x}^2$ is a quadratic equation.