5z^(13/5)-32z^(8/5)+35z^(3/5)=0

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Solution for 5z^(13/5)-32z^(8/5)+35z^(3/5)=0 equation: 


z in (-oo:+oo)

5*z^(13/5)-(32*z^(8/5))+35*z^(3/5) = 0

5*z^(13/5)-32*z^(8/5)+35*z^(3/5) = 0

5*z^(13/5)-32*z^(8/5)+35*z^(3/5) = 0

z^(3/5)*(5*z^2-32*z+35) = 0

5*z^2-32*z+35 = 0

DELTA = (-32)^2-(4*5*35)

DELTA = 324

DELTA > 0

z = (324^(1/2)+32)/(2*5) or z = (32-324^(1/2))/(2*5)

z = 5 or z = 7/5

z^(3/5) = 0

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

z^(3/5) = 0

z = 0

z in { 7/5, 5, 0 }

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