SOLUTION: how would i solve equations over complex numbers? for example, x^2-2x+2=0

Question 554326: how would i solve equations over complex numbers? for example, x^2-2x+2=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You would use the quadratic formula.

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Break up the fraction for each case.

or Reduce.

So the solutions are or

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

RELATED QUESTIONS
I don't understand fractional equations for example: 2x-1 over 3 - 3-x over 2 =x over... (answered by Earlsdon,ash)

Solve x^3 - 4x^2 - 2x + 20 = 0 over the set of complex... (answered by Nate)

Hello, I am stumped on the following question. Appreciate the help. Solve... (answered by solver91311)

Hi There! Can You Please Help Me Solve This?? I Just Don't Know How To Take The First... (answered by josgarithmetic)

Solve for x: x^2+16=0 (complex numbers) (answered by Theo)

hi .....please I need to know how can I solve equations for complex numbers like this :... (answered by Alan3354)

how do I Factor this expression over the complex numbers.... (answered by josgarithmetic)

Solve x^3 - x^2 - 7x +15 =0 over the set of complex... (answered by solver91311)

how to we solve the following equation to find the complex number/roots? x^2-8x+30=0 (answered by Alan3354)