#### Answer

No real solutions.; Mary incorrectly took the square root of a negative number.

#### Work Step by Step

When taking the square root of a number, you get a positive and a negative answer. Here, the right side ends up negative, and you can only get imaginary answers in that case. Mary incorrectly took the square root of a negative number.
$95=-4(m-3)^2-5$
$-4(m-3)^2-5=95$
$-4(m-3)^2=100$
$(m-3)^2=-25$