SOLUTION: When the sum of 511 and four times a positive number is subtracted from the square of the number, the result is 110. Find the number

Question 1016706: When the sum of 511 and four times a positive number is subtracted from the square of the number, the result is 110. Find the number
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
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When the sum of 511 and four times a positive number is subtracted from the square of the number, the result is 110. Find the number
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Your equation is

 = .

Solve it:

 = .

Factor it:

 = (x-27)*(x+23).

The roots are x = 27 and x = -23. 
Only positive x = 27 suits.

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