3/(4x^1/4)-1/(2x^3/4)

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


D( x )

(4*x^1)/4 = 0

(2*x^3)/4 = 0

(4*x^1)/4 = 0

(4*x^1)/4 = 0

(4*x)/4 = 0

x = 0

(2*x^3)/4 = 0

(2*x^3)/4 = 0

1/2*x^3 = 0 // : 1/2

x^3 = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

3*x^-1-2*x^-3 = 0

t_1 = x^-1

3*t_1^1-2*t_1^3 = 0

3*t_1-2*t_1^3 = 0

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

-2*t_1^2 = -3 // : -2

t_1^2 = 3/2

t_1^2 = 3/2 // ^ 1/2

abs(t_1) = (3/2)^(1/2)

t_1 = (3/2)^(1/2) or t_1 = -(3/2)^(1/2)

t_1 = 0

t_1 = 0

t_1 = (3/2)^(1/2)

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

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

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

-1 < 0

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

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

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

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

t_1 = -(3/2)^(1/2)

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

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

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

-1 < 0

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

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

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

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

t_1 = 0

x^-1+0 = 0

x^-1 = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x naleu017Cy do O

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

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