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Given with the function of x which is f(x)=15x² + 360, we are tasked to solve for the value of x. The solution was discussed and shown below:
Set x=0, then we have:
0=15x² + 360
Transpose 360
15x²= -360
Divide by 15
x²= -360/15
x²= - 24
x = sqrt 4*6i
Therefore, the answer is letter B.

Answer:

Correct option is:

B) x = ±2i√6

Step-by-step explanation:

We have to find x for f(x)=15x²+360

i.e. those values of x for which

15x²+360=0

or 15x² = -360

Dividing both sides by 15, we get

x² = -24

Taking square root on both sides, we get

x= ± 2i√6

Hence, Correct option is:

B) x = ±2i√6

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