36/p=p-5

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Solution for 36/p=p-5 equation: 


D( p )

p = 0

p = 0

p = 0

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

36/p = p-5 // - p-5

36/p-p+5 = 0

36*p^-1-1*p^1+5*p^0 = 0

(5*p^1-1*p^2+36*p^0)/(p^1) = 0 // * p^2

p^1*(5*p^1-1*p^2+36*p^0) = 0

p^1

5*p-p^2+36 = 0

5*p-p^2+36 = 0

DELTA = 5^2-(-1*4*36)

DELTA = 169

DELTA > 0

p = (169^(1/2)-5)/(-1*2) or p = (-169^(1/2)-5)/(-1*2)

p = -4 or p = 9

p in { -4, 9} 

p in { -4, 9 }

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