SOLUTION: I have the answer to this problem but I am not sure how they got it... g(x)= 4x^2 - 3x + 1 answer; 3/8 +- square root (7)/8i Can someone explain how they did this? Thank you

Question 559483: I have the answer to this problem but I am not sure how they got it...
g(x)= 4x^2 - 3x + 1
answer;
3/8 +- square root (7)/8i
Can someone explain how they did this?
Thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
g(x)= 4x^2 - 3x + 1
-----

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 -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 , or
Here's your graph:

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