What are the coordinates of the x-intercepts of the graph of = 2 2 + 10 + 12

Question

Cecelia Orozco

Mathematics

31 January, 08:12

What are the coordinates of the x-intercepts of the graph of = 2 2 + 10 + 12

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Answers (1)

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Nana · Answer 1

Hello:

f (x) = x²+10x+12

f (x) = (x²+2 (5) x+5²) - 5² + 12

f (x) = (x+5) ²-13

the x-intercepts solutions f (x) = 0

(x+5) ² - 13 = 0

(x+5) ² = (√13) ²

x+5 = √13 or x+5 = - √13

x = √13 - 5 or x = - √13 - 5