Trigonometry Examples

$\frac{30}{x^{2 - 9}} + 1 = \frac{5}{x - 3}$

Step 1

Simplify each term.

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Step 1.1

Move $x^{2 - 9}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$30 x^{- (2 - 9)} + 1 = \frac{5}{x - 3}$

Step 1.2

Subtract $9$ from $2$ .

$30 x^{- - 7} + 1 = \frac{5}{x - 3}$

Step 1.3

Multiply $- 1$ by $- 7$ .

$30 x^{7} + 1 = \frac{5}{x - 3}$

Step 2

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

$x \approx - 0.69514415$

Step 3