### Home > AC > Chapter 12 > Lesson 12.2.2 > Problem 12-51

12-51.

Solve the following quadratic equations by completing the square, if possible. Leave your answers in

*exact*form. Check your solution(s). Homework Help ✎*x*^{2}− 14*x*= −24*x*^{2}+ 6*x*− 9 = 0*x*^{2}− 198*x*+ 9797 = 0*x*^{2}− 9*x*= 15.75

Add 49 to both sides.

*x*² − 14*x* + 49 = −24 + 49

Simplify. (*x* − 7)² = 25

Write two equations.

*x* − 7 = 5 *x* − 7 = −5

*x* = 12 or −2

Add 9 to both sides.

Follow the steps in part (a).

Follow the steps in part (b).

*x* = 97 or 101

Follow the steps in part (a).