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Agata [3.3K]
3 years ago
5

Find the roots of f(x)=x2+9x-36. x = _____ or x = _____

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Hi there!

\large\boxed{x = -12, 3}

The roots of a function are when f(x) = 0, so:

0 = x² + 9x - 36

Find two numbers that multiply to -36 and add up to 9.

We get the numbers 12 and -3, so:

0 = (x + 12)(x - 3)

Set each equal to 0 to find the x value:

0 = x + 12

x = -12

0 = x - 3

x = 3

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