4/p-2p/5=6/5

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Solution for 4/p-2p/5=6/5 equation: 


D( p )

p = 0

p = 0

p = 0

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

4/p-((2*p)/5) = 6/5 // - 6/5

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

(-2/5)*p+4/p-6/5 = 0

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

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

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

p^1

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

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

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

DELTA = 196/25

DELTA > 0

p = ((196/25)^(1/2)-(-6/5))/(2*(-2/5)) or p = (-(-6/5)-(196/25)^(1/2))/(2*(-2/5))

p = -5 or p = 2

p in { -5, 2} 

p in { -5, 2 }

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