F(x) = 16x4 – 81 = 0 Select all of the zeroes of the function. 3/2 -3/2 3/2i -3/2i

2 answers:

5 0

The way to figure this one out is move the 81 over to the other side so you have the equation 16x^4 = 81. Since 81 is not divisible by 16 you have to think of another way to simplify. 16 is a perfect square, x^4 is a perfect square, and 81 is a perfect square. So take the square root of both sides to begin the simplification. 4x^2 = 9. Divide both sides by 4 to get x^2 = 9/4. 9 and 4 are both perfect squares, so undo the square on the x by taking the square root of both sides: x = +/- 3/2.

andreyandreev [35.5K]3 years ago

3 0

the answer to this question is 3/2 and 3/2i

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