SOLUTION: If the square of a number is added to 3 times the number,the sum is 108.Find the number.
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Question 1190247: If the square of a number is added to 3 times the number,the sum is 108.Find the number.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The words say
That's a quadratic equation; get everything on one side and factor:
With a negative constant term, the factorization has to be of the form (x+a)(x-b); so we need two numbers whose product is 108 and whose difference is 3 -- 12 and 9.
or
Check to see if both solutions to the equation are solutions to the original problem:
x=-12: 3x+x^2 = -36+144 = 108 check
x=9: 3x+x^2 = 27+81 = 108 check
ANSWERS: -12 or 9
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