3x^((13)/(5))-20x^((8)/(5))+25x^((3)/(5))=0

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Solution for 3x^((13)/(5))-20x^((8)/(5))+25x^((3)/(5))=0 equation: 


x in (-oo:+oo)

3*x^(13/5)-(20*x^(8/5))+25*x^(3/5) = 0

3*x^(13/5)-20*x^(8/5)+25*x^(3/5) = 0

3*x^(13/5)-20*x^(8/5)+25*x^(3/5) = 0

x^(3/5)*(3*x^2-20*x+25) = 0

3*x^2-20*x+25 = 0

DELTA = (-20)^2-(3*4*25)

DELTA = 100

DELTA > 0

x = (100^(1/2)+20)/(2*3) or x = (20-100^(1/2))/(2*3)

x = 5 or x = 5/3

x^(3/5) = 0

1*x^(3/5) = 0 // : 1

x^(3/5) = 0

x = 0

x in { 5/3, 5, 0 }

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