SOLUTION: Solve 3x^2-7x-13=0 What are the solutions? X=___(Type exact solutions using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

Question 473948: Solve 3x^2-7x-13=0
What are the solutions? X=___(Type exact solutions using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)
What are the x intercepts?____(Type ordered pairs. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed.)

Answer by jorel1380(3719) (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=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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