SOLUTION: The sum of an integer and its square is 30. Find the number. a) -3 or 10 b) 3 or -10 c) -5 or 6 d) 5 or -6 Help! What are the steps to the solution?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of an integer and its square is 30. Find the number. a) -3 or 10 b) 3 or -10 c) -5 or 6 d) 5 or -6 Help! What are the steps to the solution?      Log On

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Question 256872: The sum of an integer and its square is 30. Find the number.
a) -3 or 10
b) 3 or -10
c) -5 or 6
d) 5 or -6
Help! What are the steps to the solution?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the integer. We get
x+%2B+x%5E2+=+30
rewriting, we get
x%5E2+%2B+x+=+30
setting equal to 0, we get
x%5E2%2Bx-30=0
factoring, we get
%28x-5%29%28x%2B6%29=0
solving each parenthesis, we get
x = 5 and x = -6; choice (d)