Answer:
3, -1/2
Explanation:
(4x-5)^2=49
Take the square root of each side
sqrt(4x-5)^2=±sqrt(49)
4x-5 = ±7
Add 5 to each side
4x-5+5 =5 ±7
4x = 5 ±7
Divide each side by 4
4x/4 = (5 ±7)/4
x = (5 ±7)/4
Solve for the positive
x =(5+7)/4 = 12/4 =3
Now the negative
x = (5-7)/2 = -2/4 = -1/2