# The square of a positive number is 56 more than the number itself. What is the number?

##### 2 Answers

The number is

#### Explanation:

We need to take this one phrase at a time to develop our equation.

First, the square of a positive number can be written as:

In mathematics the word "is"means "=" so we can now write:

and "56 more than the number itself" finishes the equation as:

We can now transform this into a quadratic:

We can now factor the quadratic:

Now we can solve each term for

The number is

#### Explanation:

Let the unknown value be

This is a quadratic in disguise.

The

Try

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The question stipulates that the number is positive so we select

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