Question

Find the roots of the quadratic equation $x^2+7x+10=0$ by using the quadratic formula

• A. $-2,-5$
• B. $-2,5$
• C. $2,-5$
• D. $2,5$

Answer 1

The correct option is A $-2,-5$

Given:

$x^2+7x+10=0$

$x=\frac{-7\pm \sqrt{(7{)}^2-(4\left)\right(1\left)\right(10)}}{2\left(1\right)}$

$x=\frac{-7\pm \sqrt{49-40}}{2}$

$x=\frac{-7\pm \sqrt{9}}{2}$

$x=\frac{-7\pm 3}{2}$

$x=\frac{-7+3}{2}$ and $x=\frac{-7-3}{2}$

So, the answer comes out to be, $x=-2$ and $x=-5$