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

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


D( x )

4*x^(3/4) = 0

x < 0

2*x^(1/2) = 0

4*x^(3/4) = 0

4*x^(3/4) = 0

4*x^(3/4) = 0 // : 4

x^(3/4) = 0

x = 0

x < 0

2*x^(1/2) = 0

2*x^(1/2) = 0

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

x^(1/2) = 0

x = 0

x in (0:+oo)

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

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

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

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

-1/2*x^(-1/4) = -1 // : -1/2

x^(-1/4) = 2

-1/4 < 0

1/(x^(1/4)) = 2 // * x^(1/4)

1 = 2*x^(1/4) // : 2

1/2 = x^(1/4)

x^(1/4) = 1/2 // ^ 4

x = 1/16

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

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

x^(-1/2) = 0

x należy do O

x = 1/16

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