SOLUTION: Is 18x sqr + 4x -1 =0 a real solution, two real solution, or have two imaginary solutions?

Question 585525: Is 18x sqr + 4x -1 =0 a real solution, two real solution, or have two imaginary solutions?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Is 18x sqr + 4x -1 =0 a real solution, two real solution, or have two imaginary solutions?
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Find the discriminant

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If the Disc > 0, there are 2 real solutions.
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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=88 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.149467542212413, -0.371689764434635. Here's your graph:

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