SOLUTION: 4x^2+1=3x

Question 836700: 4x^2+1=3x
Answer by doodles(24) (Show Source): You can put this solution on YOUR website!
We need the equation to = 0
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Then we have to get the factors of this equation: Since there are no obvious factors we have to use the quadratic equation which is:

so...

Solved by pluggable solver: SOLVE quadratic equation with variable

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 -7 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 -7 is + or - .

The solution is

Here's your graph:

Ultimately, the answer is
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