Question

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

Answer 1

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.

Answer 2

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