SOLUTION: When the sum of 522 and three times a positive number is subtracted from the square of the number, the result is 126. Find the number.
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Question 831254: When the sum of 522 and three times a positive number is subtracted from the square of the number, the result is 126. Find the number. Answer by Elomeht(22) (Show Source):
You can put this solution on YOUR website! Put in symbols, we are saying:
(x^2) - (522 + 3x) = 126
This is the same as saying:
(x^2) -3x - 648 = 0
Factorizing:
(x - 27)(x + 24) = 0
The solutions are: x = 27; x = -24;
For our purposes, the only important solution is x = 27, since the number must be 27.
Check: 27^2 = 729; 522 + 3 times 27 = 522 + 81 = 603; 729 - 603 = 126
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