SOLUTION: The square of a number plus the number is 132. What is the number?

Question 255371: The square of a number plus the number is 132. What is the number?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since "The square of a number plus the number is 132", we know that

Start with the given equation.

Subtract 132 from both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or which means that the number is either 11 or -12

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