# Two numbers have a sum of 22 and their product is 103. What are the numbers in simplest radical form?

##### 2 Answers

#### Explanation:

Call the two numbers

From the first equation:

Substitute into the second:

Quadratic formula:

So we have two solutions for

So for the pair of values of

Double check with the second formula that these are correct:

Note that this is a 'difference of two squares' formula

Yep, this checks out.

#### Explanation:

We have