4p^(5/3)-5p^(2/3)-6p^(-1/3)

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Solution for 4p^(5/3)-5p^(2/3)-6p^(-1/3) equation: 


D( p )

p = 0

p = 0

p = 0

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

4*p^(5/3)-(5*p^(2/3))-(6*p^(-1/3)) = 0

4*p^(5/3)-5*p^(2/3)-6*p^(-1/3) = 0

4*p^(5/3)-5*p^(2/3)-6*p^(-1/3) = 0

p^(-1/3)*(4*p^2-5*p-6) = 0

4*p^2-5*p-6 = 0

DELTA = (-5)^2-(-6*4*4)

DELTA = 121

DELTA > 0

p = (121^(1/2)+5)/(2*4) or p = (5-121^(1/2))/(2*4)

p = 2 or p = -3/4

1/(p^(1/3)) = 0

1*p^(-1/3) = 0 // : 1

p^(-1/3) = 0

p należy do O

p in { -3/4, 2 }

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