Question

What is the sum of two solutions of the quadratic equation ax^2+bx+c=0

Answer 1

if we were to use the quadratic formula, we would get that the roots are

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

or that the 2 seperate roots are

$\frac{-b+\sqrt{b^2-4ac}}{2a}$ and $\frac{-b-\sqrt{b^2-4ac}}{2a}$

if we sum these, then the $\sqrt{b^2-4ac}$ bits will cancel and we wil be left with

$\frac{-b-b}{2a}$ or $\frac{-2b}{2a}$ or $\frac{-b}{a}$

the sum of the solutions is $\frac{-b}{a}$

Answer 2

Try this option:

According to the properties of the quadratic equation the sum of its roots is '-b', in other words x₁+x₂= -b

Answer: -b