Algebra Examples

$q (0) = \frac{1}{x^{2} - 9}$

Step 1

Multiply $q$ by $0$ .

$0 = \frac{1}{x^{2} - 9}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $9$ as $3^{2}$ .

$0 = \frac{1}{x^{2} - 3^{2}}$

Step 2.2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = 3$ .

$0 = \frac{1}{(x + 3) (x - 3)}$

Step 3

Set the numerator equal to zero.

$1 = 0$

Step 4

Since $1 \neq 0$ , there are no solutions.

No solution

Step 5