6p-3/p=7

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Solution for 6p-3/p=7 equation: 


D( p )

p = 0

p = 0

p = 0

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

6*p-(3/p) = 7 // - 7

6*p-(3/p)-7 = 0

6*p-3*p^-1-7 = 0

6*p^1-3*p^-1-7*p^0 = 0

(6*p^2-7*p^1-3*p^0)/(p^1) = 0 // * p^2

p^1*(6*p^2-7*p^1-3*p^0) = 0

p^1

6*p^2-7*p-3 = 0

6*p^2-7*p-3 = 0

DELTA = (-7)^2-(-3*4*6)

DELTA = 121

DELTA > 0

p = (121^(1/2)+7)/(2*6) or p = (7-121^(1/2))/(2*6)

p = 3/2 or p = -1/3

p in { -1/3, 3/2} 

p in { -1/3, 3/2 }

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