35x^2-4/x^2-64

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Solution for 35x^2-4/x^2-64 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

35*x^2-(4/(x^2))-64 = 0

35*x^2-4*x^-2-64 = 0

t_1 = x^2

35*t_1^1-4*t_1^-1-64 = 0

35*t_1^1-4*t_1^-1-64*t_1^0 = 0

(35*t_1^2-64*t_1^1-4*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(35*t_1^2-64*t_1^1-4*t_1^0) = 0

t_1^1

35*t_1^2-64*t_1-4 = 0

35*t_1^2-64*t_1-4 = 0

DELTA = (-64)^2-(-4*4*35)

DELTA = 4656

DELTA > 0

t_1 = (4656^(1/2)+64)/(2*35) or t_1 = (64-4656^(1/2))/(2*35)

t_1 = (4*291^(1/2)+64)/70 or t_1 = (64-4*291^(1/2))/70

t_1 in { (64-4*291^(1/2))/70, (4*291^(1/2)+64)/70} 

t_1 = (64-4*291^(1/2))/70

x^2-((64-4*291^(1/2))/70) = 0

1*x^2 = (64-4*291^(1/2))/70 // : 1

x^2 = (64-4*291^(1/2))/70

t_1 = (4*291^(1/2)+64)/70

x^2-((4*291^(1/2)+64)/70) = 0

1*x^2 = (4*291^(1/2)+64)/70 // : 1

x^2 = (4*291^(1/2)+64)/70

x^2 = (4*291^(1/2)+64)/70 // ^ 1/2

abs(x) = ((4*291^(1/2)+64)^(1/2))/(70^(1/2))

x = ((4*291^(1/2)+64)^(1/2))/(70^(1/2)) or x = -(((4*291^(1/2)+64)^(1/2))/(70^(1/2)))

x in { ((4*291^(1/2)+64)^(1/2))/(70^(1/2)), -(((4*291^(1/2)+64)^(1/2))/(70^(1/2))) }

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