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vovikov84 [41]
3 years ago
10

Given that f(x) = 9x2 − 180, find x

Mathematics
2 answers:
timurjin [86]3 years ago
7 0
-162
Because 9 x 2 = 18
18 - 180 = -162
expeople1 [14]3 years ago
7 0

Answer:

The values of x are x=\sqrt{20},\:x=-\sqrt{20}.

Step-by-step explanation:

We have the function f(x) = 9x^{2} - 180.

To find the value of x, you must set the function to zero

9x^2\:-\:180=0

Next, add 180 to both sides

9x^2-180+180=0+180

Simplify

9x^2=180

Divide both sides by 9

\frac{9x^2}{9}=\frac{180}{9}

Simplify

x^2=20

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{20},\:x=-\sqrt{20}.

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