(x^4+x^2-6)/(x^2+3)

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Solution for (x^4+x^2-6)/(x^2+3) equation: 


D( x )

x^2+3 = 0

x^2+3 = 0

x^2+3 = 0

1*x^2 = -3 // : 1

x^2 = -3

x in (-oo:+oo)

(x^4+x^2-6)/(x^2+3) = 0

(x^4+x^2-6)/(x^2+3) = 0 // * x^2+3

x^4+x^2-6 = 0

t_1 = x^2

1*t_1^2+1*t_1^1-6 = 0

t_1^2+t_1-6 = 0

DELTA = 1^2-(-6*1*4)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)-1)/(1*2) or t_1 = (-25^(1/2)-1)/(1*2)

t_1 = 2 or t_1 = -3

t_1 = -3

x^2+3 = 0

1*x^2 = -3 // : 1

x^2 = -3

t_1 = 2

x^2-2 = 0

1*x^2 = 2 // : 1

x^2 = 2

x^2 = 2 // ^ 1/2

abs(x) = 2^(1/2)

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

x in { 2^(1/2), -2^(1/2) }

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