4/x^2-1-7/x-1

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Solution for 4/x^2-1-7/x-1 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)

4/(x^2)-(7/x)-1-1 = 0

4/(x^2)-7*x^-1-1-1 = 0

4*x^-2-7*x^-1-2 = 0

t_1 = x^-1

4*t_1^2-7*t_1^1-2 = 0

4*t_1^2-7*t_1-2 = 0

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

DELTA = 81

DELTA > 0

t_1 = (81^(1/2)+7)/(2*4) or t_1 = (7-81^(1/2))/(2*4)

t_1 = 2 or t_1 = -1/4

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 = 2

x^-1-2 = 0

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

x^-1 = 2

-1 < 0

1/(x^1) = 2 // * x^1

1 = 2*x^1 // : 2

1/2 = x^1

x = 1/2

x in { -4, 1/2 }

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