x^4-161/4x^2=-4

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Solution for x^4-161/4x^2=-4 equation: 


x in (-oo:+oo)

x^4-((161/4)*x^2) = -4 // + 4

x^4-((161/4)*x^2)+4 = 0

x^4+(-161/4)*x^2+4 = 0

x^4-161/4*x^2+4 = 0

t_1 = x^2

1*t_1^2-161/4*t_1^1+4 = 0

t_1^2-161/4*t_1+4 = 0

DELTA = (-161/4)^2-(1*4*4)

DELTA = 25665/16

DELTA > 0

t_1 = ((25665/16)^(1/2)+161/4)/(1*2) or t_1 = (161/4-(25665/16)^(1/2))/(1*2)

t_1 = ((25665/16)^(1/2)+161/4)/2 or t_1 = (161/4-(25665/16)^(1/2))/2

t_1 = (161/4-(25665/16)^(1/2))/2

x^2-((161/4-(25665/16)^(1/2))/2) = 0

1*x^2 = (161/4-(25665/16)^(1/2))/2 // : 1

x^2 = (161/4-(25665/16)^(1/2))/2

x^2 = (161/4-(25665/16)^(1/2))/2 // ^ 1/2

abs(x) = ((161/4-(25665/16)^(1/2))^(1/2))/(2^(1/2))

x = ((161/4-(25665/16)^(1/2))^(1/2))/(2^(1/2)) or x = -(((161/4-(25665/16)^(1/2))^(1/2))/(2^(1/2)))

t_1 = ((25665/16)^(1/2)+161/4)/2

x^2-(((25665/16)^(1/2)+161/4)/2) = 0

1*x^2 = ((25665/16)^(1/2)+161/4)/2 // : 1

x^2 = ((25665/16)^(1/2)+161/4)/2

x^2 = ((25665/16)^(1/2)+161/4)/2 // ^ 1/2

abs(x) = (((25665/16)^(1/2)+161/4)^(1/2))/(2^(1/2))

x = (((25665/16)^(1/2)+161/4)^(1/2))/(2^(1/2)) or x = -((((25665/16)^(1/2)+161/4)^(1/2))/(2^(1/2)))

x in { ((161/4-(25665/16)^(1/2))^(1/2))/(2^(1/2)), -(((161/4-(25665/16)^(1/2))^(1/2))/(2^(1/2))), (((25665/16)^(1/2)+161/4)^(1/2))/(2^(1/2)), -((((25665/16)^(1/2)+161/4)^(1/2))/(2^(1/2))) }

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