14/x4=6/x

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Solution for 14/x4=6/x equation:


D( x )

x^4 = 0

x = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

x = 0

x = 0

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

14/(x^4) = 6/x // - 6/x

14/(x^4)-(6/x) = 0

14/(x^4)-6*x^-1 = 0

14*x^-4-6*x^-1 = 0

t_1 = x^-1

14*t_1^4-6*t_1^1 = 0

14*t_1^4-6*t_1 = 0

2*t_1*(7*t_1^3-3) = 0

7*t_1^3 = 3 // : 7

t_1^3 = 3/7

t_1^3 = 3/7 // ^ 1/3

t_1 = (3/7)^(1/3)

2*t_1 = 0

2*t_1 = 0 // : 2

t_1 = 0

t_1 = (3/7)^(1/3)

x^-1-(3/7)^(1/3) = 0

1*x^-1 = (3/7)^(1/3) // : 1

x^-1 = (3/7)^(1/3)

-1 < 0

1/(x^1) = (3/7)^(1/3) // * x^1

1 = (3/7)^(1/3)*x^1 // : (3/7)^(1/3)

1/((3/7)^(1/3)) = x^1

x = 1/((3/7)^(1/3))

t_1 = 0

x^-1+0 = 0

x^-1 = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x naleu017Cy do O

x = 1/((3/7)^(1/3))

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