### Home > CCA > Chapter 9 > Lesson 9.1.1 > Problem 9-6

9-6.

Use your generalized process of completing the square to rewrite and solve each quadratic equation below. Homework Help ✎

*w*^{2}+ 28w + 52 = 0*x*^{2}+ 5*x*+ 4 = 0*k*^{2}− 16*k*− 17 = 0*z*^{2}− 1000*z*+ 60775 = 0

Draw tiles to make the expression into a square.

How many tiles do you need to complete the square?

Add that number to both sides of the equation and simplify.

(*w* + 14)^{2} = 144

Solve for *w* by starting with eliminating the exponent.

*w* = −2 or *w* = −26

See part (a).

(*x* + 2.5)^{2} = 2.25*x* = −1 or *x* = −4

See part (a).

(*k* − 8)^{2} = 81*k* = 17 or *k* = −1

See part (a).