How to solve 1/c_{1} + 1/c_{2}

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 1/c_{1} + 1/c_{2} | Equatix

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Question

$$\frac{1}{c_{1}}+\frac{1}{c_{2}}$$

Evaluate

$\frac{c_{1}+c_{2}}{c_{1}c_{2}}$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $c_{1}$ and $c_{2}$ is $c_{1}c_{2}$. Multiply $\frac{1}{c_{1}}$ times $\frac{c_{2}}{c_{2}}$. Multiply $\frac{1}{c_{2}}$ times $\frac{c_{1}}{c_{1}}$.

$$\frac{c_{2}}{c_{1}c_{2}}+\frac{c_{1}}{c_{1}c_{2}}$$

Since $\frac{c_{2}}{c_{1}c_{2}}$ and $\frac{c_{1}}{c_{1}c_{2}}$ have the same denominator, add them by adding their numerators.

$$\frac{c_{2}+c_{1}}{c_{1}c_{2}}$$

Show Solution

Factor

$\frac{\frac{c_{1}}{c_{2}}+1}{c_{1}}$