# If a number is added to its square, the result is 56. How do you find the number?

##### 2 Answers

#### Answer:

#### Explanation:

Let the number be

We now solve the equation:

Factor:

#### Answer:

Call the number

#### Explanation:

I normally use the quadratic formula:

It's not hard to remember, and it always works.

For this particular one, though, I will factorise instead. I need two numbers that multiply to give

So

If you expand that you will get back our quadratic.

The two 'roots' - the solutions of the quadratic - are the values of

Those roots are