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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(3*x^5-((5*x^1)/2))*((8*x^-1)/2-x) = 0
(3*x^5+(-5/2)*x)*((8*x^-1)/2-x) = 0
(3*x^5-5/2*x)*(4*x^-1-x) = 0
3*x^5-5/2*x = 0
x*(3*x^4-5/2) = 0
3*x^4 = 5/2 // : 3
x^4 = 5/6
x^4 = 5/6 // ^ 1/4
abs(x) = (5/6)^(1/4)
x = (5/6)^(1/4) or x = -(5/6)^(1/4)
x*(x-(5/6)^(1/4))*(x+(5/6)^(1/4)) = 0
4*x^-1-x = 0
x^-1*(4-x^2) = 0
-1*x^2 = -4 // : -1
x^2 = 4
x^2 = 4 // ^ 1/2
abs(x) = 2
x = 2 or x = -2
x^-1*(x-2)*(x+2) = 0
x^-1*x*(x-(5/6)^(1/4))*(x+(5/6)^(1/4))*(x-2)*(x+2) = 0
( x+(5/6)^(1/4) )
x+(5/6)^(1/4) = 0 // - (5/6)^(1/4)
x = -(5/6)^(1/4)
( x+2 )
x+2 = 0 // - 2
x = -2
( x-(5/6)^(1/4) )
x-(5/6)^(1/4) = 0 // + (5/6)^(1/4)
x = (5/6)^(1/4)
( x-2 )
x-2 = 0 // + 2
x = 2
( x )
x = 0
( x^-1 )
1*x^-1 = 0 // : 1
x^-1 = 0
x należy do O
x in { 0}
x in { -(5/6)^(1/4), -2, (5/6)^(1/4), 2 }
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