1-4/p=-3/p^2

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Solution for 1-4/p=-3/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)

1-(4/p) = -3/(p^2) // + -3/(p^2)

1-(4/p)-(-3/(p^2)) = 0

3*p^-2-4*p^-1+1 = 0

t_1 = p^-1

3*t_1^2-4*t_1^1+1 = 0

3*t_1^2-4*t_1+1 = 0

DELTA = (-4)^2-(1*3*4)

DELTA = 4

DELTA > 0

t_1 = (4^(1/2)+4)/(2*3) or t_1 = (4-4^(1/2))/(2*3)

t_1 = 1 or t_1 = 1/3

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 = 1

p^-1-1 = 0

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

p^-1 = 1

-1 < 0

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

1 = 1*p^1 // : 1

1 = p^1

p = 1

p in { 3, 1 }

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