Which of the following are quadratic equations?

$\sqrt{3}x^2\ –\ 2x\ +\ \frac{1}{2}\ =\ 0$

Given:

Given quadratic equation is $\sqrt{3}x^2\ –\ 2x\ +\ \frac{1}{2}\ =\ 0$.

To do:

We have to check whether the given equation is quadratic.

Solution:

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

$\sqrt{3}x^2\ –\ 2x\ +\ \frac{1}{2}\ =\ 0$

The given equation is of the form $ax^2+bx+c=0$ where $a=\sqrt{3}, b=-2$ and $c=\frac{1}{2}$.

Therefore, $\sqrt{3}x^2\ –\ 2x\ +\ \frac{1}{2}\ =\ 0$ is a quadratic equation.