6/x=7/x13

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Solution for 6/x=7/x13 equation:


D( x )

x = 0

x^13 = 0

x = 0

x = 0

x^13 = 0

x^13 = 0

1*x^13 = 0 // : 1

x^13 = 0

x = 0

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

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

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

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

6*x^-1-7*x^-13 = 0

t_1 = x^-1

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

6*t_1-7*t_1^13 = 0

t_1*(6-7*t_1^12) = 0

-7*t_1^12 = -6 // : -7

t_1^12 = 6/7

t_1^12 = 6/7 // ^ 1/12

abs(t_1) = (6/7)^(1/12)

t_1 = (6/7)^(1/12) or t_1 = -(6/7)^(1/12)

t_1 = 0

t_1 = 0

t_1 = (6/7)^(1/12)

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

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

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

-1 < 0

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

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

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

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

t_1 = -(6/7)^(1/12)

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

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

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

-1 < 0

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

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

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

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

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/((6/7)^(1/12)), 1/(-(6/7)^(1/12)) }

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