CPM Homework Help : CCA2 Problem 12-19

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Home > CCA2 > Chapter 12 > Lesson 12.1.1 > Problem 12-19

12-19.

Solve each equation.

$\sqrt { x + 7 }+ 5 = x$
Step 1 (a):
Subtract $5$ from both sides to isolate the radical.
$\sqrt{x+7}\ =\ x-5$
Step 2 (a):
Square both sides to get rid of the radical sign.
$x+7\ =\ x^2-10x+25$
Step 3 (a):
Set the equation equal to $0$ and use the Quadratic Formula to solve for $x$ .

$\frac { a } { a ^ { 2 } - 36 } + \frac { 2 } { a - 6 } = \frac { 1 } { a + 6 }$
Hint (b):
What are the factors of $a^2 - 36?$ Multiply both sides of the equation by a common denominator to remove the fractions.
Answer (b):
$a = -9$

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