SOLUTION: I was asked to solve the following equation using the quadratic formula. 3x+4=2x^2-7 PLEASE HELP!!

Question 27416: I was asked to solve the following equation using the quadratic formula.
3x+4=2x^2-7
PLEASE HELP!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Rewrite as follows:
2x^2-3x-11=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=97 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3.21221445044903, -1.71221445044903. Here's your graph:

Cheers,
Stan H.
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