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?

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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)   (Show Source): You can put this solution on YOUR website!
Let x be the integer. We get

rewriting, we get

setting equal to 0, we get

factoring, we get

solving each parenthesis, we get
x = 5 and x = -6; choice (d)

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