SOLUTION: Solve the following equation using the Quadratic Formula. 2x²-11x-2=0 The solution set is { } Type an exact answer, using radicals as needed. Use a comma to separate answers as

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Question 241498: Solve the following equation using the Quadratic Formula.
2x²-11x-2=0
The solution set is { }
Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
2x²-11x-2=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=137 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.67617497767991, -0.176174977679906. Here's your graph:

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= (11/4) ±sqrt(137)/4


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