1-3/x-28/x^2=0

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Solution for 1-3/x-28/x^2=0 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

1-(3/x)-(28/(x^2)) = 0

1-3*x^-1-28*x^-2 = 0

t_1 = x^-1

1-28*t_1^2-3*t_1^1 = 0

1-28*t_1^2-3*t_1 = 0

DELTA = (-3)^2-(-28*1*4)

DELTA = 121

DELTA > 0

t_1 = (121^(1/2)+3)/(-28*2) or t_1 = (3-121^(1/2))/(-28*2)

t_1 = -1/4 or t_1 = 1/7

t_1 = -1/4

x^-1+1/4 = 0

1*x^-1 = -1/4 // : 1

x^-1 = -1/4

-1 < 0

1/(x^1) = -1/4 // * x^1

1 = -1/4*x^1 // : -1/4

-4 = x^1

x = -4

t_1 = 1/7

x^-1-1/7 = 0

1*x^-1 = 1/7 // : 1

x^-1 = 1/7

-1 < 0

1/(x^1) = 1/7 // * x^1

1 = 1/7*x^1 // : 1/7

7 = x^1

x = 7

x in { -4, 7 }

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