Peta attempted to solve the following equation. Explain Peta's error. x (x - 5) = 20 x = 20 and x - 5 = 20 x = 20 and x = 25

Answer:

Peta cannot set x and x − 5 each equal to 20 because their product is 20, not zero. The zero-product property does not apply. The equation is quadratic and its solutions are (5 + √105)/2 and (5 − √105)/2.