(8^3-3x^2+2x-6)/(x-2)

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Solution for (8^3-3x^2+2x-6)/(x-2) equation:


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

(2*x-(3*x^2)+8^3-6)/(x-2) = 0

(2*x-3*x^2+8^3-6)/(x-2) = 0

(2*x-3*x^2+506)/(x-2) = 0

2*x-3*x^2+506 = 0

2*x-3*x^2+506 = 0

DELTA = 2^2-(-3*4*506)

DELTA = 6076

DELTA > 0

x = (6076^(1/2)-2)/(-3*2) or x = (-6076^(1/2)-2)/(-3*2)

x = (14*31^(1/2)-2)/(-6) or x = (-14*31^(1/2)-2)/(-6)

(x-((14*31^(1/2)-2)/(-6)))*(x-((-14*31^(1/2)-2)/(-6))) = 0

((x-((14*31^(1/2)-2)/(-6)))*(x-((-14*31^(1/2)-2)/(-6))))/(x-2) = 0

( x-((-14*31^(1/2)-2)/(-6)) )

x-((-14*31^(1/2)-2)/(-6)) = 0 // + (-14*31^(1/2)-2)/(-6)

x = (-14*31^(1/2)-2)/(-6)

( x-((14*31^(1/2)-2)/(-6)) )

x-((14*31^(1/2)-2)/(-6)) = 0 // + (14*31^(1/2)-2)/(-6)

x = (14*31^(1/2)-2)/(-6)

x in { (-14*31^(1/2)-2)/(-6), (14*31^(1/2)-2)/(-6) }

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