### Home > CCAA8 > Chapter 9 Unit 10 > Lesson CCA: 9.1.1 > Problem9-6

9-6.

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

1. $w^2+28w+52=0$

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 $w=−26$

1. $x^2+5x+4=0$

See part (a).

$(x+2.5)^2=2.25$
$x=−1$ or $x=−4$

1. $k^2−16k−17=0$

See part (a).

$(k−8)^2=81$
$k=17$ or $k=−1$

1. $z^2−1000z+60775=0$

See part (a).