Question

State whether $18x^2-6x=0$ is a quadratic equation.

Answer 1

To check whether the equation is a quadratic equation:

The standard form of a quadratic equation is $a{x}^2+bx+c=0$.

For a given equation to be a quadratic equation,$a\ne 0$ and the highest power of the variable in the equation should be $2$.

Writing the given equation $18x^2-6x=0$ in standard form of quadratic equation.

$$\begin{gathered} 18x^2-6x=0 \\ \Rightarrow 3x^2-x=0 \end{gathered}$$

On comparing this equation with the standard form $a{x}^2+bx+c=0$, we can see that $a=3$ and the highest power of the variable $x$ is $2$.

Hence, the equation $18x^2-6x=0$ is a quadratic equation.