5/3p-1/p=1/p

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Solution for 5/3p-1/p=1/p equation: 


D( p )

p = 0

p = 0

p = 0

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

(5/3)*p-(1/p) = 1/p // - 1/p

(5/3)*p-(1/p)-(1/p) = 0

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

5/3*p^1-2*p^-1 = 0

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

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

p^1

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

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

DELTA = 0^2-(-2*4*(5/3))

DELTA = 40/3

DELTA > 0

p = ((40/3)^(1/2)+0)/(2*(5/3)) or p = (0-(40/3)^(1/2))/(2*(5/3))

p = 3/10*(40/3)^(1/2) or p = 3/10*(40/3)^(1/2)

p in { 3/10*(40/3)^(1/2), 3/10*(40/3)^(1/2)} 

p in { 3/10*(40/3)^(1/2), 3/10*(40/3)^(1/2) }

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