Solve quadratic equation using the quadratic formula. x2+5x+2=0

Question

Solve quadratic equation using the quadratic formula.  x2+5x+2=0

Raheem Donnelly · Accepted Answer

The quadratic formula used for quadratic equation $a x^{2} + b x + c = 0$ is,
$x = - \frac{b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
Here, $a = 1, b = 5, c = 2$
Substitute the given values in the quadratic formula as,
$x = \frac{- 5 \pm \sqrt{25 - 20}}{2}$
$x = \frac{- 5 \pm \sqrt{5}}{2}$
Hence, the solution for the equation is $x = \frac{- 5 + \sqrt{5}}{2} and x = \frac{- 5 - \sqrt{5}}{2}$

Solve quadratic equation using the quadratic formula. x2+5x+2=0

Answered question

Answer & Explanation