SOLUTION: m squared - 9m -24 ,Factor the type one qudratic

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Question 442276: m squared - 9m -24 ,Factor the type one qudratic
Answer by swincher4391(1107)   (Show Source): You can put this solution on YOUR website!
What multiplies to -24 and adds to -9?
Here are the factors of -24.
Plus or Minus here:
1 24
2 12
3 8
4 6
This cannot be factored in terms of integers.
Let's try the quadratic formula:
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=177 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 11.152067347825, -2.15206734782504. Here's your graph:


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