(x^2+8x15)/(x^2-1)

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Solution for (x^2+8x15)/(x^2-1) 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)

(8*x^15+x^2)/(x^2-1) = 0

8*x^15+x^2 = 0

x^2*(8*x^13+1) = 0

8*x^13 = -1 // : 8

x^13 = -1/8

x^13 = -1/8 // ^ 1/13

x = -(1/8)^(1/13)

x^2*(x+(1/8)^(1/13)) = 0

(x^2*(x+(1/8)^(1/13)))/(x^2-1) = 0

( x+(1/8)^(1/13) )

x+(1/8)^(1/13) = 0 // - (1/8)^(1/13)

x = -(1/8)^(1/13)

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -(1/8)^(1/13), 0 }

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