SOLUTION: WHAT TWO NUMBERS WHEN MULTIPLIED THEIR SUM IS 120, AND WHEN ADDED THEIR SUM IS 28?

Question 478219: WHAT TWO NUMBERS WHEN MULTIPLIED THEIR SUM IS 120, AND WHEN ADDED THEIR SUM IS 28?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x*y = 120
x + y = 28
y = 28-x
---------------
x*(28-x) = 120

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=304 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 22.7177978870813, 5.28220211291865. Here's your graph:

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