What is the sum of the roots of the equation 2x2+5x-3=0?

Question 1 options:

-3.5

-2.5

-1.5

2.5

-2.5

Step-by-step explanation:

For roots "a" and "b" a quadratic can be written as ...

(x - a) (x - b) = x^2 - (a+b) x + ab

Note that the coefficient of x is - (a+b), the opposite of the sum of the roots.

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If we divide your equation by 2, we can put it into the form above:

x^2 - (-5/2) x - 3/2 = 0

This tells us the sum of the roots is - 5/2 = - 2.5.