SOLUTION: Please help. Translate into a mathematical equation, solve and answer the question.THE SUM OF AN INTEGER AND ITS SQUARE (THAT INTEGER MULTIPLIED TIMES ITSELF) IS 132. WHAT COULD

Question 192823: Please help.
Translate into a mathematical equation, solve and answer the question.THE SUM OF AN INTEGER AND ITS SQUARE (THAT INTEGER MULTIPLIED TIMES ITSELF) IS 132. WHAT COULD THAT INTEGER BE
Found 2 solutions by jim_thompson5910, edjones:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Please try to not use all caps (it is hard to read).

"The sum of an integer and its square (that integer multiplied times itself) is 132" translates to

Start with the given equation.

Subtract 132 from both sides.

Rearrange the terms.

Notice we have a quadratic equation 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 answers are or

So the number is either 11 or -12.

Note: if you only care about positive numbers, then the answer is 11.

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let the integer be x.
x+x^2=132
x^2+x-132=0
(x+12)(x-11)=0
x=11, x=-12
.
Ed
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