Pre-Algebra Examples

$11 v^{- 2} + 23 v^{- 1} + 2 = 0$

Step 1

Simplify each term.

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Step 1.1

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

$11 \frac{1}{v^{2}} + 23 v^{- 1} + 2 = 0$

Step 1.2

Combine $11$ and $\frac{1}{v^{2}}$ .

$\frac{11}{v^{2}} + 23 v^{- 1} + 2 = 0$

Step 1.3

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

$\frac{11}{v^{2}} + 23 \frac{1}{v} + 2 = 0$

Step 1.4

Combine $23$ and $\frac{1}{v}$ .

$\frac{11}{v^{2}} + \frac{23}{v} + 2 = 0$

Step 2

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

$v = - 11, - \frac{1}{2}$

Step 3