4x^4-4x^2+3x/x-4

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


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

t_1 = x^2

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

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

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

DELTA = 32

DELTA > 0

t_1 = (32^(1/2)+4)/(2*4) or t_1 = (4-32^(1/2))/(2*4)

t_1 = (4*2^(1/2)+4)/8 or t_1 = (4-4*2^(1/2))/8

t_1 = (4-4*2^(1/2))/8

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

1*x^2 = (4-4*2^(1/2))/8 // : 1

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

t_1 = (4*2^(1/2)+4)/8

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

1*x^2 = (4*2^(1/2)+4)/8 // : 1

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

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

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

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

x in { ((4*2^(1/2)+4)^(1/2))/(2*2^(1/2)), -(((4*2^(1/2)+4)^(1/2))/(2*2^(1/2))) }

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