3x^4-6x^(1/2)=0

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Solution for 3x^4-6x^(1/2)=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

3*x^4-(6*x^(1/2)) = 0

3*x^4-6*x^(1/2) = 0

t_1 = x^(1/2)

3*t_1^8-6*t_1^1 = 0

3*t_1^8-6*t_1 = 0

3*t_1*(t_1^7-2) = 0

1*t_1^7 = 2 // : 1

t_1^7 = 2

t_1^7 = 2 // ^ 1/7

t_1 = 2^(1/7)

3*t_1 = 0

3*t_1 = 0 // : 3

t_1 = 0

t_1 = 2^(1/7)

x^(1/2)-2^(1/7) = 0

1*x^(1/2) = 2^(1/7) // : 1

x^(1/2) = 2^(1/7)

x^(1/2) = 2^(1/7) // ^ 2

x = 2^(2/7)

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 { 2^(2/7), 0 }

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