SOLUTION: The product of two consecutive even intergers is 74.

Algebra.Com
Question 229735: The product of two consecutive even intergers is 74.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
that's not possible, 74 = 2*37
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n*(n+2) = 74
n^2 + 2n - 74 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=300 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 7.66025403784439, -9.66025403784439. Here's your graph:

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No integer solution.
Only one 'r' in integer, too.
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