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polet [3.4K]
3 years ago
15

What are the solutions for x when y is equal to 0 in the following quadratic

Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

D) x = -12 or x = 2

Step-by-step explanation:

The given quadratic equation is:

y=x^2+10x-24

When y=0, we obtain:

x^2+10x-24=0

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

x^2-2x+12x-24=0

We factor by grouping to obtain:

x(x-2)+12(x-2)=0

(x-2)(x+12)=0

Either (x-2)=0 or (x+12)=0

Either x=2 or x=-12

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