7/x-1=9/x^2-1

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Solution for 7/x-1=9/x^2-1 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)

7/x-1 = 9/(x^2)-1 // - 9/(x^2)-1

7/x-(9/(x^2))-1+1 = 0

7/x-9*x^-2-1+1 = 0

7*x^-1-9*x^-2 = 0

t_1 = x^-1

7*t_1^1-9*t_1^2 = 0

7*t_1-9*t_1^2 = 0

DELTA = 7^2-(-9*0*4)

DELTA = 49

DELTA > 0

t_1 = (49^(1/2)-7)/(-9*2) or t_1 = (-49^(1/2)-7)/(-9*2)

t_1 = 0 or t_1 = 7/9

t_1 = 0

x^-1+0 = 0

x^-1 = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

t_1 = 7/9

x^-1-7/9 = 0

1*x^-1 = 7/9 // : 1

x^-1 = 7/9

-1 < 0

1/(x^1) = 7/9 // * x^1

1 = 7/9*x^1 // : 7/9

9/7 = x^1

x = 9/7

x = 9/7

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