3y^4/4=y^6/16

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Solution for 3y^4/4=y^6/16 equation: 


y in (-oo:+oo)

(3*y^4)/4 = (y^6)/16 // - (y^6)/16

(3*y^4)/4-((y^6)/16) = 0

3/4*y^4-1/16*y^6 = 0

1/4*y^4*(3-1/4*y^2) = 0

-1/4*y^2 = -3 // : -1/4

y^2 = 12

y^2 = 12 // ^ 1/2

abs(y) = 2*3^(1/2)

y = 2*3^(1/2) or y = -(2*3^(1/2))

(y^4)/4 = 0

1/4*y^4 = 0 // : 1/4

y^4 = 0

y = 0

y in { 2*3^(1/2), -(2*3^(1/2)), 0 }

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