SOLUTION: Find, to the nearest degree, all positive values of theta less than 360� that satisfy the equation 2tan^2-2tan=3.

Question 971820: Find, to the nearest degree, all positive values of theta less than 360� that satisfy the equation 2tan^2-2tan=3.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find, to the nearest degree, all positive values of theta less than 360� that satisfy the equation 2tan^2-2tan=3.
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Sub x for tan
2x^2 - 2x - 3 = 0

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=28 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.8228756555323, -0.822875655532295. Here's your graph:

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tan =~ 1.8229
theta = 61, 241 degs
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tan =~ -0.8229
theta = 321, 141 degs
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