SOLUTION: What two number mulitply to -64 and add to be -5

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Question 803802: What two number mulitply to -64 and add to be -5
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What two number mulitply to -64 and add to be -5
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x*y = -64
x + y = -5 --> y = -5-x
x*(-5-x) = -64
x*(x+5) = 64

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=281 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.88152730712011, -10.8815273071201. Here's your graph:

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x = one of the solutions above, y = the other one.

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