(-8)/(x^2-1)-(7)/(3-x)

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Solution for (-8)/(x^2-1)-(7)/(3-x) equation: 


D( x )

x^2-1 = 0

3-x = 0

x^2-1 = 0

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x in (-oo:-1) U (-1:1) U (1:3) U (3:+oo)

-8/(x^2-1)-(7/(3-x)) = 0

-8/(x^2-1)-7*(3-x)^-1 = 0

-8/(x^2-1)-7/(3-x) = 0

(-8*(3-x))/((x^2-1)*(3-x))+(-7*(x^2-1))/((x^2-1)*(3-x)) = 0

-8*(3-x)-7*(x^2-1) = 0

8*x-7*x^2-17 = 0

8*x-7*x^2-17 = 0

8*x-7*x^2-17 = 0

DELTA = 8^2-(-17*(-7)*4)

DELTA = -412

DELTA < 0

1 = 0

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

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

1 = 0

x belongs to the empty set

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