SOLUTION: The product of three numbers is 24. Two of the numbers are even consecutive numbers. If the third number is 3, define the unknown numbers and derive a quadratic equation for the pr

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Question 1109051: The product of three numbers is 24. Two of the numbers are even consecutive numbers. If the third number is 3, define the unknown numbers and derive a quadratic equation for the problem
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
:
represent the consecutive even numbers as x and x+2, then
:
3(x)(x+2) = 24
:
3x^2 +6x = 24
:
x^2 +2x = 8
:
x^2 +2x -8 = 0
:
Note that there are two possible solutions depending on the meaning of "numbers" in the problem
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2,4,3 or -4,-2,3
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