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

Question 192814: Please help.
Translate into a mathematical equation, solve and answer the question.
THE SUM OF AN INTEGER AND ITS SQUARE (THAT INTEGER MULTIPLYIED TIMES ITSELF) IS 132. WHAT COULD THAT INTEGER BE.
Found 2 solutions by checkley77, Earlsdon:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X+X^2=132
X^2+X-132=0
(X+12)(X-11)=0
X=-12 ANS.
X-11=0
X=11 ANS.
PROOFS:
-12-12^2=132
-12+144=132
132=132
11+11^2=132
11+121=132
132=132

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let n = the integer in question, then, from the problem description you can write:
Rearrange into a quadratic equation in standard form:
Factor this.
Apply the zero product rule.
or so that...
or :
There are two solutions, one positive, (11) and one negative, (-12).
Check:
Substitute n = 11.

OK
Substitute n = -12.

OK

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