Find the zeros, if any, of the function y=5(x−5)2−5

Answer 1

If you are talking about y = 5(x−5)² − 5, first set it equal to zero:

0 = 5(x−5)² − 5 then add 5 to both sides:

5 = 5(x−5)² and then divide by 5:

1 = (x−5)² now take the square root of both sides:

±√1 = √(x−5)²

±1 = x - 5

Solution 1: 1 = x - 5 or x = 6

Solution 2: -1 = x - 5 or x = 4