Calculus Examples

$3 (t) = \frac{6}{t^{2} - 49}$

Step 1

Multiply $3$ by $t$ .

$3 t = \frac{6}{t^{2} - 49}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $49$ as $7^{2}$ .

$3 t = \frac{6}{t^{2} - 7^{2}}$

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 $a = t$ and $b = 7$ .

$3 t = \frac{6}{(t + 7) (t - 7)}$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$t \approx - 6.97950188, - 0.04081771, 7.0203196$

Step 4