SOLUTION: the square of a number exceeds 11 times the number by 312. find the number.

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Question 36863: the square of a number exceeds 11 times the number by 312. find the number.
Answer by venugopalramana(3286) About Me  (Show Source):
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the square of a number(X SAY)
X^2
exceeds 11 times the number
11X
by 312. find the number.
X^2=11X+312
X^2-11X-312=0
X^2-24X+13X-312=0
X(X-24)+13(X-24)=0
(X-24)(X+13)=0
X-24=0....X=24
AND
X+13=0....X=-13