(20/(7x^(3/7)))-(5/(7x^(2/7)))=0

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Solution for (20/(7x^(3/7)))-(5/(7x^(2/7)))=0 equation: 


D( x )

7*x^(2/7) = 0

7*x^(3/7) = 0

7*x^(2/7) = 0

7*x^(2/7) = 0

7*x^(2/7) = 0 // : 7

x^(2/7) = 0

x = 0

7*x^(3/7) = 0

7*x^(3/7) = 0

7*x^(3/7) = 0 // : 7

x^(3/7) = 0

x = 0

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

20/(7*x^(3/7))-(5/(7*x^(2/7))) = 0

(-5/7)*x^(-(2/7))+20/(7*x^(3/7)) = 0

20/7*x^(-3/7)-5/7*x^(-2/7) = 0

5/7*x^(-2/7)*(4*x^(-1/7)-1) = 0

4*x^(-1/7) = 1 // : 4

x^(-1/7) = 1/4

-1/7 < 0

1/(x^(1/7)) = 1/4 // * x^(1/7)

1 = 1/4*x^(1/7) // : 1/4

4 = x^(1/7)

x^(1/7) = 4 // ^ 7

x = 16384

5/(7*x^(2/7)) = 0

5/7*x^(-2/7) = 0 // : 5/7

x^(-2/7) = 0

x należy do O

x = 16384

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