p+10/p-7=8/9

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

D( p )

p = 0

p = 0

p = 0

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

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

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

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

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

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

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

p^1

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

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

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

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

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

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