SOLUTION: Please help me to solve this problem in the complex number system: [[[ x^2-6x+10=0]]]

Question 458232: Please help me to solve this problem in the complex number system: [[[ x^2-6x+10=0]]]
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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

Note:

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