8/9=p+10/p-7

Solution for 8/9=p+10/p-7 equation:

D( p )

p = 0

p = 0

p = 0

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

8/9 = p+10/p-7 // - p+10/p-7

8/9-p-(10/p)+7 = 0

8/9-p-10*p^-1+7 = 0

71/9*p^0-1*p^1-10*p^-1 = 0

(71/9*p^1-1*p^2-10*p^0)/(p^1) = 0 // * p^2

p^1*(71/9*p^1-1*p^2-10*p^0) = 0

p^1

(71/9)*p-p^2-10 = 0

(71/9)*p-p^2-10 = 0

DELTA = (71/9)^2-(-10*(-1)*4)

DELTA = 1801/81

DELTA > 0

p = ((1801/81)^(1/2)-(71/9))/(-1*2) or p = (-(71/9)-(1801/81)^(1/2))/(-1*2)

p = ((1801/81)^(1/2)-71/9)/(-2) or p = ((1801/81)^(1/2)+71/9)/2

p in { ((1801/81)^(1/2)-71/9)/(-2), ((1801/81)^(1/2)+71/9)/2} 

p in { ((1801/81)^(1/2)-71/9)/(-2), ((1801/81)^(1/2)+71/9)/2 }