SOLUTION: I am having a problem with this one: Solve using the quadratic formula. 2x^2-1=6x

Question 83532: I am having a problem with this one:
Solve using the quadratic formula. 2x^2-1=6x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 6x from both sides

Rearrange in form

Now use the quadratic formula to solve for x

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=44 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3.1583123951777, -0.1583123951777. Here's your graph:

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