SOLUTION: for the following equation, state the value of the discriminant and then describve the nature of the solution -8x^2+5x+13=0

Question 446744: for the following equation, state the value of the discriminant and then describve the nature of the solution -8x^2+5x+13=0
Answer by chriswen(106) (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=441 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -1, 1.625. Here's your graph:

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