3x^3-18x^2-12x/-3y

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Solution for 3x^3-18x^2-12x/-3y equation:


x in (-oo:+oo)

3*x^3-(18*x^2)-(((12*x)/(-3))*y) = 0

3*x^3-18*x^2+4*x*y = 0

3*x^3-18*x^2+4*x*y = 0

x*(3*x^2-18*x+4*y) = 0

3*x^2-18*x+4*y = 0

DELTA = (-18)^2-(3*4*4*y)

DELTA = 324-48*y

324-48*y = 0

324-48*y = 0 // - 324

-48*y = -324 // : -48

y = -324/(-48)

y = 27/4

DELTA = 0 <=> t_1 = 27/4

x = 18/(2*3) i y = 27/4

x = 3 i y = 27/4

( x = ((324-48*y)^(1/2)+18)/(2*3) or x = (18-(324-48*y)^(1/2))/(2*3) ) i y > 27/4

( x = ((324-48*y)^(1/2)+18)/6 or x = (18-(324-48*y)^(1/2))/6 ) i y > 27/4

y-27/4 > 0

y-27/4 > 0 // + 27/4

y > 27/4

x = 0

x = 0

x in { 3, ((324-48*y)^(1/2)+18)/6, (18-(324-48*y)^(1/2))/6, 0 }

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