CPM Homework Help : INT2 Problem 5-113

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5-113.

What values of $x$ will make the following equations true?

$x^2 = 144$
Answer (a):
$x = 12$ or $–12$

$x=\sqrt { 144 }$
Hint (b):
Remember that a square root cannot result in a negative number.

$x^2 − 5 = 139$
Hint (c):
Add $5$ to both sides. This equation should look familiar now.

$x − 1 = \sqrt { 144 }$
Hint (d):
$\sqrt{144}=12$

$x^2 = -144$
Hint (e):
What number squared results in a negative number?
Answer (e):
No real solution.

$x^2 + 5 = 0$
Hint (f):
Subtract $5$ from both sides.

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