8+11/p=10/p^2

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Solution for 8+11/p=10/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)

11/p+8 = 10/(p^2) // - 10/(p^2)

11/p-(10/(p^2))+8 = 0

11/p-10*p^-2+8 = 0

11*p^-1-10*p^-2+8 = 0

t_1 = p^-1

11*t_1^1-10*t_1^2+8 = 0

11*t_1-10*t_1^2+8 = 0

DELTA = 11^2-(-10*4*8)

DELTA = 441

DELTA > 0

t_1 = (441^(1/2)-11)/(-10*2) or t_1 = (-441^(1/2)-11)/(-10*2)

t_1 = -1/2 or t_1 = 8/5

t_1 = -1/2

p^-1+1/2 = 0

1*p^-1 = -1/2 // : 1

p^-1 = -1/2

-1 < 0

1/(p^1) = -1/2 // * p^1

1 = -1/2*p^1 // : -1/2

-2 = p^1

p = -2

t_1 = 8/5

p^-1-8/5 = 0

1*p^-1 = 8/5 // : 1

p^-1 = 8/5

-1 < 0

1/(p^1) = 8/5 // * p^1

1 = 8/5*p^1 // : 8/5

5/8 = p^1

p = 5/8

p in { -2, 5/8 }

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