Respuesta :
Answer:
The values of x are [tex]x=\sqrt{20},\:x=-\sqrt{20}[/tex].
Step-by-step explanation:
We have the function [tex]f(x) = 9x^{2} - 180[/tex].
To find the value of x, you must set the function to zero
[tex]9x^2\:-\:180=0[/tex]
Next, add 180 to both sides
[tex]9x^2-180+180=0+180[/tex]
Simplify
[tex]9x^2=180[/tex]
Divide both sides by 9
[tex]\frac{9x^2}{9}=\frac{180}{9}[/tex]
Simplify
[tex]x^2=20[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{20},\:x=-\sqrt{20}[/tex].
