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3 years ago

Solve by completing the square: -14 + x^2 = 5x

Mathematics

1 answer:

blondinia [14]3 years ago

4 0

Answer:

x = 7, x = -2

Step-by-step explanation:

<u>Solving by completing square</u>

-14 + x^2 = 5x
x^2 - 5x - 14 = 0
x^2 -2*2.5x + 6.25 - 20.25 = 0
(x -2.5)^2 = 20.25
(x - 2.5)^2 = 4.5^2

x - 2.5 = 4.5 ⇒ x = 7
x - 2.5 = -4.5 ⇒ x = -2

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3 years ago

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3 years ago

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