SOLUTION: how to solve the equation 8x square +1=3x

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Question 723110: how to solve the equation 8x square +1=3x
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
how to solve the equation 8x square +1=3x
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Use ^ (Shift 6) for exponents.
Get all the terms on one side, = 0.
8x^2 - 3x + 1 = 0
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Use the quadratic equation.
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 : .

The discriminant -23 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -23 is + or - .

The solution is , or
Here's your graph: