3z^(-1/4)*(6z^7-z^(1/4))

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Solution for 3z^(-1/4)*(6z^7-z^(1/4)) equation: 


D( z )

z < 0

z = 0

z < 0

z = 0

z = 0

z in (0:+oo)

3*z^(-1/4)*(6*z^7-z^(1/4)) = 0

6*z^7-z^(1/4) = 0

z^(1/4)*(6*z^(27/4)-1) = 0

6*z^(27/4) = 1 // : 6

z^(27/4) = 1/6

z^(27/4) = 1/6 // ^ 4

z^27 = 1/1296 // ^ 1/27

z = (1/1296)^(1/27)

z^(1/4)*(z-(1/1296)^(1/27)) = 0

3*z^(-1/4)*z^(1/4)*(z-(1/1296)^(1/27)) = 0

( 3*z^(-1/4) )

3*z^(-1/4) = 0 // : 3

z^(-1/4) = 0

z należy do O

( z-(1/1296)^(1/27) )

z-(1/1296)^(1/27) = 0 // + (1/1296)^(1/27)

z = (1/1296)^(1/27)

( z^(1/4) )

1*z^(1/4) = 0 // : 1

z^(1/4) = 0

z = 0

z in { 0} 

z = (1/1296)^(1/27)

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