Solve. x2 + 14 = 9x A) x = 2, x = 7 B) x = 3, x = 5 C) x = −2, x = −7 D) x = −3, x = −5
1 answer:
Answer:
A) x = 2, x = 7
Step-by-step explanation:
x^2 + 14 = 9x
Subtract 9x from each side
x^2-9x + 14 = 9x-9x
x^2-9x + 14 = 0
What 2 numbers multiply to 14 and add to -9
-7*-2 = 14
-7+-2 = -9
(x-7)(x-2) = 0
Using the zero product property
x-7 = 0 x-2 =0
x=7 x=2
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