(12x)/(x^8-4x^4-17)

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Solution for (12x)/(x^8-4x^4-17) equation:


D( x )

x^8-(4*x^4)-17 = 0

x^8-(4*x^4)-17 = 0

x^8-(4*x^4)-17 = 0

x^8-4*x^4-17 = 0

t_1 = x^4

1*t_1^2-4*t_1^1-17 = 0

t_1^2-4*t_1-17 = 0

DELTA = (-4)^2-(-17*1*4)

DELTA = 84

DELTA > 0

t_1 = (84^(1/2)+4)/(1*2) or t_1 = (4-84^(1/2))/(1*2)

t_1 = (2*21^(1/2)+4)/2 or t_1 = (4-2*21^(1/2))/2

t_1 = (4-2*21^(1/2))/2

x^4-((4-2*21^(1/2))/2) = 0

1*x^4 = (4-2*21^(1/2))/2 // : 1

x^4 = (4-2*21^(1/2))/2

t_1 = (2*21^(1/2)+4)/2

x^4-((2*21^(1/2)+4)/2) = 0

1*x^4 = (2*21^(1/2)+4)/2 // : 1

x^4 = (2*21^(1/2)+4)/2

x^4 = (2*21^(1/2)+4)/2 // ^ 1/4

abs(x) = ((2*21^(1/2)+4)^(1/4))/(2^(1/4))

x = ((2*21^(1/2)+4)^(1/4))/(2^(1/4)) or x = -(((2*21^(1/2)+4)^(1/4))/(2^(1/4)))

x in (-oo:-(((2*21^(1/2)+4)^(1/4))/(2^(1/4)))) U (-(((2*21^(1/2)+4)^(1/4))/(2^(1/4))):((2*21^(1/2)+4)^(1/4))/(2^(1/4))) U (((2*21^(1/2)+4)^(1/4))/(2^(1/4)):+oo)

(12*x)/(x^8-(4*x^4)-17) = 0

(12*x)/(x^8-4*x^4-17) = 0

12*x = 0 // : 12

x = 0

x = 0

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