When solved for x, what is the sum when the roots of the quadratic equation are added?

x^2 + 10x + 24 = 0

A

Step-by-step explanation:

x² + 10x + 24 = 0

Here, a = 1, b = 10, c = 24.  Factoring using the AC method:

ac = 1×24 = 24

Factors of 24 that add up to 10 are +4 and +6.

Therefore:

(x + 4) (x + 6) = 0

x + 4 = 0, x + 6 = 0

x = -4, x = -6

The roots are -4 and -6.  Added together:

-4 + -6 = -10

Answer A.

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step-by-step explanation:

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