x^3/16=x^6/2

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Solution for x^3/16=x^6/2 equation: 


x in (-oo:+oo)

(x^3)/16 = (x^6)/2 // - (x^6)/2

(x^3)/16-((x^6)/2) = 0

1/16*x^3-1/2*x^6 = 0

t_1 = x^3

1/16*t_1^1-1/2*t_1^2 = 0

1/16*t_1-1/2*t_1^2 = 0

DELTA = (1/16)^2-(-1/2*0*4)

DELTA = 1/256

DELTA > 0

t_1 = ((1/256)^(1/2)-1/16)/(-1/2*2) or t_1 = (-(1/256)^(1/2)-1/16)/(-1/2*2)

t_1 = 0 or t_1 = 1/8

t_1 = 0

x^3+0 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

t_1 = 1/8

x^3-1/8 = 0

1*x^3 = 1/8 // : 1

x^3 = 1/8

x^3 = 1/8 // ^ 1/3

x = 1/2

x in { 0, 1/2 }

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