SOLUTION: what two numbers when multiplied equals 9000 and when added equals to negative 200

Question 250367: what two numbers when multiplied equals 9000 and when added equals to negative 200

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
both numbers are negative because their product is positive but their sum is negative
n*m=9000
n+m=-200
n=-200-m
substitute -200-m for n in the first
(-200-m)*m=9000
-200m-m^2=9000
add -200m-m^2 to both sides
m^2+200m +9000=0

Solved by pluggable solver: SOLVE quadratic equation with variable

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=4000 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -68.3772233983162, -131.622776601684. Here's your graph:

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