Question

Solve the quadratic equation y = 7x^2 - 56x for x. What are the solutions?

a) x = 0, x = 8
b) x = -8, x = 0
c) x = 0, x = 7
d) x = -7, x = 8

Answer 1

The solutions to the quadratic equation y = 7x^2 - 56x for x are x = 0 and x = 8.

Step-by-step explanation:

To solve the quadratic equation y = 7x^2 - 56x for x, we set the equation equal to zero: 7x^2 - 56x = 0. Next, we factor out the common factor, which is 7x, giving us 7x(x - 8) = 0. Now, we use the zero product property and set each factor equal to zero. So, we have 7x = 0 and x - 8 = 0. Solving for x, we find x = 0 and x = 8.