Question

determine the zeros of the quadratic function y = -5x^2 + 16x

Answer 1

To find the zeros of the quadratic function, we need to set y equal to zero and solve for x.

0 = -5x^2 + 16x

Now, we can factor out an x from the right side of the equation:

0 = x(-5x + 16)

Now, we have two possible solutions:

1) x = 0

2) -5x + 16 = 0

To solve the second equation, we can add 5x to both sides:

5x = 16

Then, we divide both sides by 5:

x = 16/5

So, the zeros of the quadratic function are x = 0 and x = 16/5.