## Intermediate Algebra: Connecting Concepts through Application

When taking the square root of a number, you get a positive and a negative answer. Before taking the square root, isolate the variable on one side. Since we would be taking the square root of a negative number, there are no real solutions. $-4(t+3)^2-100=0$ $-4(t+3)^2=100$ $(t+3)^2=-25$ no real solutions