(3/2)x^(1/2)-48x^(-2)=0

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Solution for (3/2)x^(1/2)-48x^(-2)=0 equation:


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

(3/2)*x^(1/2)-(48*x^-2) = 0

(3/2)*x^(1/2)-48*x^-2 = 0

3/2*x^(1/2)-48*x^-2 = 0

t_1 = x^(1/2)

3/2*t_1^1-48*t_1^-4 = 0

3/2*t_1-48*t_1^-4 = 0

3*t_1*(1/2-16*t_1^-5) = 0

-16*t_1^-5 = -1/2 // : -16

t_1^-5 = 1/32

-5 < 0

1/(t_1^5) = 1/32 // * t_1^5

1 = 1/32*t_1^5 // : 1/32

32 = t_1^5

t_1^5 = 32 // ^ 1/5

t_1 = 2

3*t_1 = 0

3*t_1 = 0 // : 3

t_1 = 0

t_1 = 2

x^(1/2)-2 = 0

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

x^(1/2) = 2

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

x = 4

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 { 0}

x = 4

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