SOLUTION: I'm having problems figuring out what this answer is using complex numbers. Please help! Solve in the complex number system. 8x^3 + 27 = 0

Question 65224: I'm having problems figuring out what this answer is using complex numbers. Please help! Solve in the complex number system. 8x^3 + 27 = 0
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
I'm having problems figuring out what this answer is using complex numbers. Please help! Solve in the complex number system. 8x^3 + 27 = 0
use formula
a^3+b^3=(a+b)(a^2-ab+b^2)
(2x)^3+(3)^3=[2x+3][(2x)^2-(2x)(3)+3^2]=0
=(2x+3)[4x^2-6x+9]=0
hence 2x+3=0....or......x=-3/2......or
4x^2-6x+9=0

x = [3+3isqrt(3)]/4 or [3-3isqrt(3)]/4
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