SOLUTION: Solve the equation and express its roots in simplest a + bi form: 2(x-3) = - 5 divided by x

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Question 175029: Solve the equation and express its roots in simplest a + bi form:

2(x-3) = - 5 divided by x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2(x-3) = - 5 divided by x
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2x-6 = -5/x
2x^2 - 6x + 5 = 0
x = [6 +- sqrt(36 - 4*2*5)]/4
x = [6 +- sqrt(76)]/4
x = [6 + 2isqrt(19)]/4 or x = [6 + 2isqrt(19)]/4
x = (3/2) + (1/2)isqrt(19) or x = (3/2) - (1/2)isqrt(19)
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Cheers,
Stan H.