SOLUTION: Find 2 real numbers that differ from 8 and has a product of 54

Question 890820: Find 2 real numbers that differ from 8 and has a product of 54
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find 2 real numbers that differ from 8 and has a product of 54
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x - y = 8
x*y = 54
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y = x - 8
x*(x-8) = 54

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=297 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 13.116843969807, -4.11684396980704. Here's your graph:

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