SOLUTION: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer. 3x2 - 7x + 6 = 0

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Question 193767: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
3x2 - 7x + 6 = 0


Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
in the equation the discriminant is D=
:

:
since D<0 there are 2 complex solutions
:
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:

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