SOLUTION: My math question reads: If one of the solutions to a quadratic function is 1+i(squareroot2), what is the b value in the quadratic polynomial? Could you please help me figure out

Question 176400: My math question reads:
If one of the solutions to a quadratic function is 1+i(squareroot2), what is the b value in the quadratic polynomial?
Could you please help me figure out this math problem?
Please and thank you.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
since } and are factors
:

:
collecting all like terms
:
b=-2

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 -8 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 -8 is + or - .

The solution is , or
Here's your graph:

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