SOLUTION: please help with this math problem: write the quadratic equation that has these complex solutions:(3+-isqrt(13))/2

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Question 456027: please help with this math problem: write the quadratic equation that has these complex solutions:(3+-isqrt(13))/2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
write the quadratic equation that has these complex solutions:
%283+%2B-i%2Asqrt%2813%29%29%2F2
:
x = %283+%2B-i%2Asqrt%2813%29%29%2F2
:
multiply both sides by 2, get rid of the fraction
2x = 3+%2B-i%2Asqrt%2813%29
:
Subtract 3 from both sides
2x - 3 = +/-i%2Asqrt%2813%29
;
Square both sides
(2x-3)^2 = i^2*13
:
Foil the left. i^2 = -1
4x^2 - 6x - 6x + 9 = -1 * 13
4x^2 - 12x + 9 = -13
4x^2 - 12x + 9 + 13 = 0
4x^2 - 12x + 22 = 0; is the equation
You can simplify, divide by 2
2x^2 - 6x + 11 = 0