Question

Say true or false.

Every quadratic equation has at least one real root.

• A. True
• B. False

Answer 1

The correct option is B False

If we consider general form of quadratic equation $a{x}^2+bx+c=0$ its roots are defined by quadratic formula as,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Also square root of a negative number is not defined hence, for a quadratic equation yo has real roots it should satisfy,

$\begin{array}{cc}{b}^2-4ac& >0\\ b^2& >4ac\end{array}$