SOLUTION: solve for quadratic 3x2

SOLUTION: solve for quadratic 3x2 - x = 11

Question 672328: solve for quadratic 3x2 - x = 11
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3x2 - x = 11
3x2 - x - 11 = 0
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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=133 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.08876043244513, -1.7554270991118. Here's your graph:

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