6/7x^(1/7)-13x^(13/7)/7

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Solution for 6/7x^(1/7)-13x^(13/7)/7 equation:


x in (-oo:+oo)

(6/7)*x^(1/7)-((13*x^(13/7))/7) = 0

(-13/7)*x^(13/7)+(6/7)*x^(1/7) = 0

6/7*x^(1/7)-13/7*x^(13/7) = 0

t_1 = x^(1/7)

6/7*t_1^1-13/7*t_1^13 = 0

6/7*t_1-13/7*t_1^13 = 0

1/7*t_1*(6-13*t_1^12) = 0

-13*t_1^12 = -6 // : -13

t_1^12 = 6/13

t_1^12 = 6/13 // ^ 1/12

abs(t_1) = (6/13)^(1/12)

t_1 = (6/13)^(1/12) or t_1 = -(6/13)^(1/12)

t_1/7 = 0

1/7*t_1 = 0 // : 1/7

t_1 = 0

t_1 = (6/13)^(1/12)

x^(1/7)-(6/13)^(1/12) = 0

1*x^(1/7) = (6/13)^(1/12) // : 1

x^(1/7) = (6/13)^(1/12)

x^(1/7) = (6/13)^(1/12) // ^ 7

x = (6/13)^(7/12)

t_1 = -(6/13)^(1/12)

x^(1/7)+(6/13)^(1/12) = 0

1*x^(1/7) = -(6/13)^(1/12) // : 1

x^(1/7) = -(6/13)^(1/12)

( -(6/13)^(1/12) < 0 i 1/7 in (0:1) ) => x należy do O

t_1 = 0

x^(1/7)+0 = 0

x^(1/7) = 0

1*x^(1/7) = 0 // : 1

x^(1/7) = 0

x = 0

x in { (6/13)^(7/12), 0 }

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