6x^2-x^(1/2)

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Solution for 6x^2-x^(1/2) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

6*x^2-x^(1/2) = 0

t_1 = x^(1/2)

6*t_1^4-1*t_1^1 = 0

6*t_1^4-t_1 = 0

t_1*(6*t_1^3-1) = 0

6*t_1^3 = 1 // : 6

t_1^3 = 1/6

t_1^3 = 1/6 // ^ 1/3

t_1 = (1/6)^(1/3)

t_1 = 0

t_1 = 0

t_1 = (1/6)^(1/3)

x^(1/2)-(1/6)^(1/3) = 0

1*x^(1/2) = (1/6)^(1/3) // : 1

x^(1/2) = (1/6)^(1/3)

x^(1/2) = (1/6)^(1/3) // ^ 2

x = (1/6)^(2/3)

t_1 = 0

x^(1/2)+0 = 0

x^(1/2) = 0

1*x^(1/2) = 0 // : 1

x^(1/2) = 0

x = 0

x in { (1/6)^(2/3), 0 }

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