-18x^4-y^2/36x^2y^2

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Solution for -18x^4-y^2/36x^2y^2 equation: 


x in (-oo:+oo)

-18*x^4-(x^2*((y^2)/36)*y^2) = 0

(-1/36)*x^2*y^4-18*x^4 = 0

-18*x^4-1/36*x^2*y^4 = 0

t_1 = x^2

-18*t_1^2-1/36*t_1^1*y^4 = 0

-18*t_1^2-1/36*t_1*y^4 = 0

DELTA = (-1/36*y^4)^2-(-18*0*4)

DELTA = 1/1296*y^8

1/1296*y^8 = 0

1/1296*y^8 = 0 // : 1/1296

y^8 = 0

y = 0

DELTA = 0  <=>  t_2 = 0

t_1 = (-(-1/36*y^4))/(-18*2) i y = 0

t_1 = -1/1296*y^4 i y = 0

( t_1 = ((1/1296*y^8)^(1/2)-(-1/36*y^4))/(-18*2) or t_1 = (-(-1/36*y^4)-(1/1296*y^8)^(1/2))/(-18*2) ) i y > 0

( t_1 = -1/648*y^4 or t_1 = 0 ) i y > 0

y+0 > 0

y > 0

y+0 > 0 // - 0

y > 0

t_1 = -1/1296*y^4

x^2-(-1/1296*y^4) = 0

x^2+1/1296*y^4 = 0

1*x^2 = -(1/1296*y^4) // : 1

x^2 = -1/1296*y^4

x^2 = -1/1296*y^4 // ^ 1/2

abs(x) = (-1/1296)^(1/2)*y^2

x = (-1/1296)^(1/2)*y^2 or x = -((-1/1296)^(1/2)*y^2)

t_1 = -1/648*y^4

x^2-(-1/648*y^4) = 0

x^2+1/648*y^4 = 0

1*x^2 = -(1/648*y^4) // : 1

x^2 = -1/648*y^4

x^2 = -1/648*y^4 // ^ 1/2

abs(x) = (-1/648)^(1/2)*y^2

x = (-1/648)^(1/2)*y^2 or x = -((-1/648)^(1/2)*y^2)

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { (-1/1296)^(1/2)*y^2, -((-1/1296)^(1/2)*y^2), (-1/648)^(1/2)*y^2, -((-1/648)^(1/2)*y^2), 0 }

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