Chapter 4 - Quadratic Functions - 4.4 Solving Quadratic Equations by the Square Root Property and Completing the Square - 4.4 Exercises - Page 347: 18

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

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. $95=-4(m-3)^2-5$ $-4(m-3)^2-5=95$ $-4(m-3)^2=100$ $(m-3)^2=-25$