CPM Homework Help : INT3 Problem 12-71

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12-71.

Solve each equation.

$( x + 2 ) ^ { 2 } - ( x - 2 ) ^ { 2 } = 8$
Hint (a):
Square each binomial and simplify.

$\quad \frac { 1 } { x } + \frac { 1 } { x + 2 } = 3$
Hint 1(b):
Multiply both sides by $x\left(x + 2\right)$ .
Hint 2(b):
You will need to use the Quadratic Formula to get the answer.

$11 ( 4 ^ { x } ) - 15 = - 14$
Step 1(c):
$4^x= \frac{1}{11}$
Now use logs.

$4 \operatorname { log } _ { 13 } ( x ) - 8 = 16$
Step 1(d):
$\log_{13}(x)=6$
Now rewrite in exponential form.

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