5x^1/4-25x^-3/4

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Solution for 5x^1/4-25x^-3/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

(5*x^1)/4-((25*x^-3)/4) = 0

(5*x)/4+(-25/4)*x^-3 = 0

5/4*x-25/4*x^-3 = 0

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

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

x^-4 = 1/5

-4 < 0

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

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

5 = x^4

x^4 = 5 // ^ 1/4

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

x = 5^(1/4) or x = -5^(1/4)

(5*x)/4 = 0

5/4*x = 0 // : 5/4

x = 0

x in { 0} 

x in { 5^(1/4), -5^(1/4) }

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