SOLUTION: Find all solutions of the equation x^2+x+1=0 and express them in the form a+bi.

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Question 403927: Find all solutions of the equation x^2+x+1=0 and express them in the form a+bi.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find all solutions of the equation: x^2 + x + 1 = 0
Solve this using the completing square method
x^2 + x + ___ = -1
Divide the coefficient of x by 2 and square it(1/2)^2, add to both sides
x^2 + x + .25 = - 1 + .25
:
x^2 + x + .25 = -.75
:
(x+.5)^2 = -.75
:
x + .5 = +/-sqrt%28-.75%29
:
x + .5 = +/-.5i%2Asqrt%283%29
:
x = -.5+%2B+.5i%2Asqrt%283%29
And
x = -.5+-+.5i%2Asqrt%283%29