Answer:
x = {-9/4, 15/4}
Step-by-step explanation:
To use the square root property to solve the quadratic, you need to get it to a form where the square root function can be usefully applied. That will mean having a square of a binomial on one side of the equal sign, and a constant on the other side of the equal sign.
We can get that from the given equation by adding 5 to both sides.
(x -3/4)^2 -5 = 4 . . . . . . given
(x -3/4)^2 = 9 . . . . . . . add 5 to get the square by itself
x -3/4 = ±3 . . . . . . . . . take the square root
x = ±3 +3/4 = {-9/4, 15/4} . . . . add 3/4 and expand the result
