CPM Homework Help : AC Problem 10-112

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Home > AC > Chapter 10 > Lesson 10.3.2 > Problem 10-112

10-112.

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

$w^2+28w+52=0$
Hint (a):
Draw tiles to make the expression into a square.
More Help 1(a):
How many tiles do you need to complete the square?
More Help 2(a):
Add that number to both sides of the equation and simplify.
Answer 1(a):
$\left(w+14\right)^2=144$
More Help 3(a):
Solve for $w$ by starting with eliminating the exponent.
Answer 2(a):
$w=-2$ or $w=-26$

$x^2+5x+4=0$
Hint (b):
See part (a).
Answer (b):
$\left(x+2.5\right)^2=2.25$
$x=-1$ or $x=-4$

$k^2-16k-17=0$
Hint (c):
See part (a).
Answer (c):
$\left(k-8\right)^2=81$
$k=17$ or $k=-1$

$z^2-1000z+60775=0$
Hint (d):
See part (a).

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