Question

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

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

Answer 1

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

The formula for the roots of the equation
$a{x}^2+bx+c=0$
is given as
$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$,

which implies that
$\frac{-b+\sqrt{b^2-4ac}}{2a}$

is one root of the equation and
$\frac{-b-\sqrt{b^2-4ac}}{2a}$

is the other root of the equation.