SOLUTION: What is the value of the discriminant of x^2-5x-14=0? A) 81 B) 31 C) -31 D) -81 I am not sure where to start on this? Can someone give me some direction? THANK YOU!

Question 28813: What is the value of the discriminant of x^2-5x-14=0?
A) 81
B) 31
C) -31
D) -81
I am not sure where to start on this? Can someone give me some direction? THANK YOU!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!

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=81 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7, -2. Here's your graph:

Hope this helps.
Cheers,
Stan H.
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