SOLUTION: I am supposed to solve this: 3x^2 - 7x - 13=0 What are the solutions? I think the answer is there are no solutions,because 7x and 13 are negative. Am I right?

Question 232806: I am supposed to solve this:
3x^2 - 7x - 13=0
What are the solutions?

I think the answer is there are no solutions,because 7x and 13 are negative. Am I right?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3x^2 - 7x - 13=0
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There are always solutions, tho they might not be real numbers.

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=205 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3.55297017721273, -1.21963684387939. Here's your graph:

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