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

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Solution for 4/(x^2-1)=1/2 equation: 


D( x )

x^2-1 = 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

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

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

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

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

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

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

9-x^2 = 0

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

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

9-x^2 = 0

-1*x^2 = -9 // : -1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 3, -3 }

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