Question

Determine whether the given values of variable is a solution of the quadratic equation or not. $2m^2-6m+3=0;m=\frac{1}{2}$

Answer 1

The given quadratic equation is $2m^2-6m+3=0$.

Substitute $m=\frac{1}{2}$ in the equation $2m^2-6m+3=0$ as follows:

$2m^2-6m+3=0\Rightarrow 2{\left(\frac{1}{2}\right)}^2-(6\times \frac{1}{2})+3=0\Rightarrow (2\times \frac{1}{4})-3+3=0\Rightarrow \frac{1}{2}=0$

which is not true.

Hence, $m=\frac{1}{2}$ is not the solution of the quadratic equation $2m^2-6m+3=0$.