SOLUTION: Determine the number of solutions of 2x^2 - 3x - 5 = 0

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Question 258053: Determine the number of solutions of 2x^2 - 3x - 5 = 0
Answer by Greenfinch(383)   (Show Source): You can put this solution on YOUR website!
The discriminant is 9 + 4x4x5 = 49
So 2 answers to 2X^2 - 3x -5 =0
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=49 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 2.5, -1. Here's your graph:
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