15x^6-21x^3/3y^3

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Solution for 15x^6-21x^3/3y^3 equation:


x in (-oo:+oo)

15*x^6-(((21*x^3)/3)*y^3) = 0

15*x^6-7*x^3*y^3 = 0

t_1 = x^3

15*t_1^2-7*t_1^1*y^3 = 0

15*t_1^2-7*t_1*y^3 = 0

DELTA = (-7*y^3)^2-(0*4*15)

DELTA = 49*y^6

49*y^6 = 0

49*y^6 = 0 // : 49

y^6 = 0

y = 0

DELTA = 0 <=> t_2 = 0

t_1 = (-(-7*y^3))/(2*15) i y = 0

t_1 = (7*y^3)/30 i y = 0

( t_1 = ((49*y^6)^(1/2)-(-7*y^3))/(2*15) or t_1 = (-(-7*y^3)-(49*y^6)^(1/2))/(2*15) ) i y > 0

( t_1 = (7*y^3)/15 or t_1 = 0 ) i y > 0

y+0 > 0

y > 0

y+0 > 0 // - 0

y > 0

t_1 = (7*y^3)/30

x^3-((7*y^3)/30) = 0

x^3+(-7/30)*y^3 = 0

1*x^3 = -(-7/30*y^3) // : 1

x^3 = 7/30*y^3

x^3 = 7/30*y^3 // ^ 1/3

x = (7/30)^(1/3)*y

t_1 = (7*y^3)/15

x^3-((7*y^3)/15) = 0

x^3+(-7/15)*y^3 = 0

1*x^3 = -(-7/15*y^3) // : 1

x^3 = 7/15*y^3

x^3 = 7/15*y^3 // ^ 1/3

x = (7/15)^(1/3)*y

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { (7/30)^(1/3)*y, (7/15)^(1/3)*y, 0 }

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