### Home > CAAC > Chapter 12 > Lesson 12.1.1 > Problem 12-9

12-9.

Solve the equations and inequalities below by completing the square. Homework Help ✎

*x*^{2}− 2*x*− 3 < 0*x*^{2}+ 4*x*= 3*x*^{2}+ 12*x*+ 39 > 0*x*^{2}− 3*x*− 13.75 = 0

Solve this like an equation and then test points to find the solution region(s).

The perfect square form is (*x* + 1)^{2} = 4.

−1 ≤ *x* ≤ 3

Refer to part (a).

The perfect square form is (*x* + 6)^{2} > −3