Which is the solution of the quadratic equation (4y – 3)2 = 72?
y = and y =
y = and y =
y = and y =
y = and y =

To solve this quadratic equation, take the square root of both sides.
Since the left side is a perfect square, it will just be reduced to:
4y - 3
For the constant on the right side, the positive and negative roots must be considered.
√72 = ±6√2

Equating the two:
4y - 3 = ±6√2
4y = 3 ± 6√2
y = (3 ± 6√2)/4

y = (3 + 6√2) / 4 = 2.87
and
y = (3 - 6√2) / 4 = -1.37