SOLUTION: What is an imaginary #, how to solve x^2-4x+8=0 In what way is the i or imaginery # involved.

Question 944912: What is an imaginary #, how to solve x^2-4x+8=0
In what way is the i or imaginery # involved.

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39838) (Show Source): You can put this solution on YOUR website!
Try completing the square to help solve the equation. What do you find inside the square root function part of the solution?

As reference, , and from this or .

, the 4 completes the square.

Also for reference, study this:
http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Imaginary numbers allow ways to deal with

Complete the square

Take of the coefficient of
, square it, and add it to both sides
-------------------------------------

Take the square root of both sides

and also,

-----------------
The factors of the equation are:

You can prove this just by multiplying it out

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