Question

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

Answer 1

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

Answer 2

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

`(-b\pm√(b^2-4ac))/(2a)`

or that the 2 seperate roots are

`(-b+√(b^2-4ac))/(2a)` and
`(-b-√(b^2-4ac))/(2a)`

if we sum these, then the
`√(b^2-4ac)` bits will cancel and we wil be left with

`(-b-b)/(2a)` or
`(-2b)/(2a)` or
`(-b)/(a)`

the sum of the solutions is
`(-b)/(a)`