SOLUTION: What two numbers times together make -15 but when sum together make -3

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Question 1051984: What two numbers times together make -15 but when sum together make -3
Found 2 solutions by Alan3354, jorel555:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What two numbers times together make -15 but when sum together make -3
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If you mean the product is -15, and the sum is -3:
x*y = -15
x + y = -3
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y = -3 - x
x*(-3-x) = -15

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=69 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.65331193145904, -5.65331193145904. Here's your graph:

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The 2 solutions are the 2 numbers.
Answer by jorel555(1290)   (Show Source): You can put this solution on YOUR website!
Let m and n be your numbers. Then:
m+n=-3
mn=-15
So:
n-m=3
n=3+m
m(3+m)=-15
mē+3m+15=0
Using the quadratic formula, we get m= -1.5 + 3.57071421427i, and n=
-1.5 - 3.57071421427i. ☺☺☺☺
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