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.

Question 831332: 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 mananth(16946) (Show Source): You can put this solution on YOUR website!
let the number be x
sum of 522 and 3 times the number = 3x+522
square of a number = x^2
x^2-(3x+522)=126
x^2-3x-522=126
x^2-3x-648=0
x^2-27x+24x-648=0
x(x-27)+24(x-27)=0
(x-27)(x+24)=0
x=27 OR -24
But number is positive
the number is 27

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