Question

What is the sum of the roots in this equation 2x^2+5x-3=0

Answer 1

The standard look of quadratic equation:
`ax^2+bx+c=0`
Vieta's Formula says that
`x_1+x_2=-b`

So by knowing that
`b=5` we know that the sum of the roots in this equation is -5.

Answer 2

2x^2 + 5x - 3 = 0
(x + 3)(2x - 1) = 0
x = -3, x = 1/2
Sum of the roots: -3 + (1/2) = - 2 1/2