SOLUTION: 3 times a number is 54 less than the square of that number. Find the positive solution.

SOLUTION: 3 times a number is 54 less than the square of that number. Find the positive solution.

Algebra.Com

Question 1023944: 3 times a number is 54 less than the square of that number. Find the positive solution.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let's call the number, x. Then we write
3x = x^2 - 54
Subtract off the 3x and then factor...we get
x^2 - 3x - 54 = 0
(x - 9)(x + 6) = 0
x = 9 or x = -6
The positive solution is
x = 9
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