1/5p-4=2/p

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Solution for 1/5p-4=2/p equation:


D( p )

p = 0

p = 0

p = 0

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

(1/5)*p-4 = 2/p // - 2/p

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

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

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

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

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

p^1

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

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

DELTA = (-4)^2-(-2*4*(1/5))

DELTA = 88/5

DELTA > 0

p = ((88/5)^(1/2)+4)/(2*(1/5)) or p = (4-(88/5)^(1/2))/(2*(1/5))

p = 5/2*((88/5)^(1/2)+4) or p = 5/2*(4-(88/5)^(1/2))

p in { 5/2*(4-(88/5)^(1/2)), 5/2*((88/5)^(1/2)+4)}

p in { 5/2*(4-(88/5)^(1/2)), 5/2*((88/5)^(1/2)+4) }

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