SOLUTION: what is a factor of -252 whose sum is 29

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Question 480979: what is a factor of -252 whose sum is 29
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It takes at least 2 to make a sum.
36 & -7
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You can do it the hard way:
x*(29 - x) = -252

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=1849 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -7, 36. Here's your graph:
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