Finite Math Examples

$0 = - \frac{1}{7} + \frac{x}{3} \cdot {(36 + x^{2})}^{- \frac{1}{2}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$0 = - \frac{1}{7} + \frac{x}{3} \cdot \frac{1}{{(36 + x^{2})}^{\frac{1}{2}}}$

Step 1.2

Combine.

$0 = - \frac{1}{7} + \frac{x \cdot 1}{3 {(36 + x^{2})}^{\frac{1}{2}}}$

Step 1.3

Multiply $x$ by $1$ .

$0 = - \frac{1}{7} + \frac{x}{3 {(36 + x^{2})}^{\frac{1}{2}}}$

Step 2

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

$x \approx 2.84604988$

Step 3