3z^3+2z^2-z/6z^2-2z

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Solution for 3z^3+2z^2-z/6z^2-2z equation: 


z in (-oo:+oo)

3*z^3-((z/6)*z^2)+2*z^2-(2*z) = 0

3*z^3+(-1/6)*z^3+2*z^2-2*z = 0

17/6*z^3+2*z^2-2*z = 0

z*(17/6*z^2+2*z-2) = 0

17/6*z^2+2*z-2 = 0

DELTA = 2^2-(-2*17/6*4)

DELTA = 80/3

DELTA > 0

z = ((80/3)^(1/2)-2)/(2*17/6) or z = (-(80/3)^(1/2)-2)/(2*17/6)

z = 3/17*((80/3)^(1/2)-2) or z = -3/17*((80/3)^(1/2)+2)

z = 0

z = 0

z in { -3/17*((80/3)^(1/2)+2), 3/17*((80/3)^(1/2)-2), 0 }

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