4/p-2/3=5/2p

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Solution for 4/p-2/3=5/2p equation:


D( p )

p = 0

p = 0

p = 0

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

4/p-(2/3) = (5/2)*p // - (5/2)*p

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

(-5/2)*p+4/p-2/3 = 0

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

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

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

p^1

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

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

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

DELTA = 364/9

DELTA > 0

p = ((364/9)^(1/2)-(-2/3))/(2*(-5/2)) or p = (-(-2/3)-(364/9)^(1/2))/(2*(-5/2))

p = ((364/9)^(1/2)+2/3)/(-5) or p = (2/3-(364/9)^(1/2))/(-5)

p in { ((364/9)^(1/2)+2/3)/(-5), (2/3-(364/9)^(1/2))/(-5)}

p in { ((364/9)^(1/2)+2/3)/(-5), (2/3-(364/9)^(1/2))/(-5) }

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