7+8/p=39/p^2

Solution for 7+8/p=39/p^2 equation:

D( p )

p = 0

p^2 = 0

p = 0

p = 0

p^2 = 0

p^2 = 0

1*p^2 = 0 // : 1

p^2 = 0

p = 0

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

8/p+7 = 39/(p^2) // - 39/(p^2)

8/p-(39/(p^2))+7 = 0

8/p-39*p^-2+7 = 0

8*p^-1-39*p^-2+7 = 0

t_1 = p^-1

8*t_1^1-39*t_1^2+7 = 0

8*t_1-39*t_1^2+7 = 0

DELTA = 8^2-(-39*4*7)

DELTA = 1156

DELTA > 0

t_1 = (1156^(1/2)-8)/(-39*2) or t_1 = (-1156^(1/2)-8)/(-39*2)

t_1 = -1/3 or t_1 = 7/13

t_1 = -1/3

p^-1+1/3 = 0

1*p^-1 = -1/3 // : 1

p^-1 = -1/3

-1 < 0

1/(p^1) = -1/3 // * p^1

1 = -1/3*p^1 // : -1/3

-3 = p^1

p = -3

t_1 = 7/13

p^-1-7/13 = 0

1*p^-1 = 7/13 // : 1

p^-1 = 7/13

-1 < 0

1/(p^1) = 7/13 // * p^1

1 = 7/13*p^1 // : 7/13

13/7 = p^1

p = 13/7

p in { -3, 13/7 }