Question

Determine all the zeros of the function y=-3x²+10x-7

Answer 1

To determine the zeros of the function y=-3x²+10x-7, we can use the quadratic formula and solve for x. The zeros are x=1 and x=7/3.

Step-by-step explanation:

To determine the zeros of the function y=-3x²+10x-7, we need to find the values of x that make y equal to zero. We can do this by setting the equation equal to zero and solving for x. Here's the step-by-step process:

1. Set y equal to zero: 0=-3x²+10x-7
2. Use the quadratic formula to solve for x: x=(-b±√(b²-4ac))/(2a)
3. Plug in the values of a, b, and c from the equation: x=(-10±√(10²-4(-3)(-7)))/(2(-3))
4. Simplify and solve for x to find the zeros of the function.

Therefore, the zeros of the function y=-3x²+10x-7 are x=1 and x=7/3.