Question

The following equation is a quadratic equation.
$\sqrt{3}{x}^2-2x+\frac{1}{2}=0.$(state true of false)

• A. True
• B. False

Answer 1

The correct option is A True

$\Rightarrow$ A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

$\Rightarrow$ The give equation is $\sqrt{3}{x}^2-2x+\frac{1}{2}=0$

$\Rightarrow$ Comparing given equation with standard form of quadratic equation $a{x}^2+bx+c=0$.

$\Rightarrow$ We get, $a=\sqrt{3},b=-2$ and $c=\frac{1}{2}$

$\therefore$ The given equation $\sqrt{3}{x}^2-2x+\frac{1}{2}=0$ is quadratic equation is true.