SOLUTION: solve by using quadratic formula. 6x^2=3x-2

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Question 344534: solve by using quadratic formula. 6x^2=3x-2
Found 2 solutions by JBarnum, ewatrrr:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
6x^2-3x+2=0
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 -39 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 -39 is + or - .

The solution is

Here's your graph:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
6x^2=3x-2
Put is the form of a quadratic equation:

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 -39 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 -39 is + or - .

The solution is

Here's your graph:
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