SOLUTION: Use the quadraticformula to solvethe following. Leave irrational roots in the simplest radical form. 3x^2-4x-5=0

Question 171218: Use the quadraticformula to solvethe following. Leave irrational roots in the simplest radical form.
3x^2-4x-5=0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Use the quadraticformula to solvethe following. Leave irrational roots in the simplest radical form.
3x^2-4x-5=0
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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=76 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.11963298118022, -0.786299647846891. Here's your graph:

The solver doesn't do a good job when the coeff is the x^2 term is not one. Also, it says it can be factored, which it can't, not in the sense of factored using integers.

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