SOLUTION: Could someone help me find the complex solution of the following: a. 2x^2 + 3 = 3x b. 1/2x^2 - 5x + 13 = 0

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Question 25954: Could someone help me find the complex solution of the following:
a. 2x^2 + 3 = 3x
b. 1/2x^2 - 5x + 13 = 0

Answer by elephantsize(7)   (Show Source): You can put this solution on YOUR website!
b)
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 -1 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 -1 is + or - .

The solution is , or
Here's your graph:




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