Solve. x2 + 14 = 9x A) x = 2, x = 7 B) x = 3, x = 5 C) x = - 2, x = - 7 D) x = - 3, x = - 5

Question

Mathematics

Mayra Vang

20 February, 10:59

Solve. x2 + 14 = 9x A) x = 2, x = 7 B) x = 3, x = 5 C) x = - 2, x = - 7 D) x = - 3, x = - 5

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Answers (1)

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Annika Ritter · Answer 1

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