42/14=p+15/p-5

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Solution for 42/14=p+15/p-5 equation: 


D( p )

p = 0

p = 0

p = 0

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

42/14 = p+15/p-5 // - p+15/p-5

42/14-p-(15/p)+5 = 0

42/14-p-15*p^-1+5 = 0

8*p^0-1*p^1-15*p^-1 = 0

(8*p^1-1*p^2-15*p^0)/(p^1) = 0 // * p^2

p^1*(8*p^1-1*p^2-15*p^0) = 0

p^1

8*p-p^2-15 = 0

8*p-p^2-15 = 0

DELTA = 8^2-(-15*(-1)*4)

DELTA = 4

DELTA > 0

p = (4^(1/2)-8)/(-1*2) or p = (-4^(1/2)-8)/(-1*2)

p = 3 or p = 5

p in { 3, 5} 

p in { 3, 5 }

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