CPM Homework Help : CCA2 Problem 4-31

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4-31.

Solve each of the following equations using any method.

$2 ( x + 3 ) ^ { 2 } - 5 = - 5$
Step 1(a):
$2(x+3)^2=0$
Step 2(a):
$(x+3)^2=0$
Answer (a):
$x=−3$

$3 ( x - 2 ) ^ { 2 } + 6 = 9$
Hint (b):
See part (a).

$| 2 x - 5 | - 6 = 15$
Step 1(c):
$\mid 2\textit{x} - 5 \mid = 21$
Step 2(c):
$2x−5=\pm21$
Answer (c):
$x=−8\ \text{or}\ x=13$

$3 \sqrt { 5 x - 2 } + 1 = 7$
Hint (d):
$\sqrt{5\textit{x}-2} = 2$

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