Question

What are the roots of the quadratic equation $a{x}^2+bx+c=0?$

• A. $\frac{-b\pm \sqrt{b^2-4ac}}{4a}$
• B. $\frac{-b\pm \sqrt{b^2-4ac}}{4a}$
• C. $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
• D. $\frac{-b\pm \sqrt{b^2-4ac}}{2}$

Answer 1

The correct option is C $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> The roots of the quadratic equation $a{x}^2+bx+c=0$ is given by
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}.$
Thus, $\frac{-b+\sqrt{b^2-4ac}}{2a}$ and $\frac{-b-\sqrt{b^2-4ac}}{2a}$ are the roots of the equation.