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Write the quadratic equation for the set of roots -4, 6. A. x + 24x + 10 C. x- 24x - 2 B. X - 2x - 24 D. x + 2x - 24

User Lolelo
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1 Answer

1 vote

Answer

The quadratic equation for this question is

x² - 2x - 24 = 0

Step-by-step explanation

The roots of a quadratic equation can be reversed to obtain the quadratic equation by writing them out, and turning them to factors, then multiplying those factors by each other.

For this question,

x = -4 OR x = 6

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

To obtain the quadratic equation,

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

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

x² - 6x + 4x - 24 = 0

x² - 2x - 24 = 0

Hope this Helps!!!

User Sergey Metlov
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