8x-6/x^4

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Solution for 8x-6/x^4 equation: 


D( x )

x^4 = 0

x^4 = 0

x^4 = 0

1*x^4 = 0 // : 1

x^4 = 0

x = 0

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

8*x-(6/(x^4)) = 0

8*x-6*x^-4 = 0

8*x-6*x^-4 = 0

2*x*(4-3*x^-5) = 0

-3*x^-5 = -4 // : -3

x^-5 = 4/3

-5 < 0

1/(x^5) = 4/3 // * x^5

1 = 4/3*x^5 // : 4/3

3/4 = x^5

x^5 = 3/4 // ^ 1/5

x = (3/4)^(1/5)

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

x = (3/4)^(1/5)

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