SOLUTION: If a number is increased by 30. it is less than its square by 12. Find the number

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Question 512034: If a number is increased by 30. it is less than its square by 12. Find the number
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x+30 = x^2 -12
.
x^2 -x -42 = 0
.
(x-7)(x+6) = 0
.
x = 7 or -6
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Test to see if both are correct.
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7+30 = 37
7*7 = 49
49-12 = 37
correct
.
-6+30 =24
-6*-6 = 36
36-12 =24
correct.
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Answer: Both 7 and -6 are solutions.
.
Done.