Respuesta :

We have been given that

[tex]f(x) = 6x^{2} +72[/tex]

[tex]f(x)-72=6x^{2}[/tex]

[tex]\frac{f(x)-72}{6} =x^{2}[/tex]

[tex]x=\sqrt{\frac{f(x)-72}{6} }[/tex]

Hence, [tex]x=\sqrt{\frac{f(x)-72}{6} }[/tex].

Answer:

Values of x are:

±2i√3

Step-by-step explanation:

We have to find x in f(x)=6x²+72

i.e. those values of x for which

6x²+72=0

Subtracting 72 from both sides, we get

6x² = -72

Dividing both sides by 6, we get

x² = -12

Taking square root on both sides, we get

x = ±2i√3

Hence, Values of x are:

±2i√3

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