(x^4+8x^2+9)/(x^2-1)

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Solution for (x^4+8x^2+9)/(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)

(x^4+8*x^2+9)/(x^2-1) = 0

(x^4+8*x^2+9)/(x^2-1) = 0 // * x^2-1

x^4+8*x^2+9 = 0

t_1 = x^2

1*t_1^2+8*t_1^1+9 = 0

t_1^2+8*t_1+9 = 0

DELTA = 8^2-(1*4*9)

DELTA = 28

DELTA > 0

t_1 = (28^(1/2)-8)/(1*2) or t_1 = (-28^(1/2)-8)/(1*2)

t_1 = (2*7^(1/2)-8)/2 or t_1 = (-2*7^(1/2)-8)/2

t_1 = (-2*7^(1/2)-8)/2

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

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

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

t_1 = (2*7^(1/2)-8)/2

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

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

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

x belongs to the empty set

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