# How do you solve #\frac { 1} { c + 10} = \frac { c } { 26}#?

##### 2 Answers

#### Explanation:

Bring everything to the

Least common denominator is

A fraction equals zero only if its numerator equals zero:

Quadratic formula to solve:

So, the two solutions are

A slightly different beginning.

#### Explanation:

Given:

I wish to have the

Multiply both sides by c

Subtract 26 from both sides

You will not have whole number factors so use the formula.

In its normally remembered form we have:

You are looking for squared factors that you can 'take outside' the root.

If you are ever uncertain about factoring larger values draw a quick sketch of a prime factor tree.