x^4/3-26x^2/3=-25

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Solution for x^4/3-26x^2/3=-25 equation: 


x in (-oo:+oo)

(x^4)/3-((26*x^2)/3) = -25 // + 25

(x^4)/3-((26*x^2)/3)+25 = 0

(x^4)/3+(-26/3)*x^2+25 = 0

1/3*x^4-26/3*x^2+25 = 0

t_1 = x^2

1/3*t_1^2-26/3*t_1^1+25 = 0

1/3*t_1^2-26/3*t_1+25 = 0

DELTA = (-26/3)^2-(1/3*4*25)

DELTA = 376/9

DELTA > 0

t_1 = ((376/9)^(1/2)+26/3)/(1/3*2) or t_1 = (26/3-(376/9)^(1/2))/(1/3*2)

t_1 = 3/2*((376/9)^(1/2)+26/3) or t_1 = 3/2*(26/3-(376/9)^(1/2))

t_1 = 3/2*(26/3-(376/9)^(1/2))

x^2-(3/2*(26/3-(376/9)^(1/2))) = 0

x^2-3/2*(26/3-(376/9)^(1/2)) = 0

1*x^2 = -(-3/2*(26/3-(376/9)^(1/2))) // : 1

x^2 = 3/2*(26/3-(376/9)^(1/2))

x^2 = 3/2*(26/3-(376/9)^(1/2)) // ^ 1/2

abs(x) = (3/2)^(1/2)*(26/3-(376/9)^(1/2))^(1/2)

x = (3/2)^(1/2)*(26/3-(376/9)^(1/2))^(1/2) or x = -((3/2)^(1/2)*(26/3-(376/9)^(1/2))^(1/2))

t_1 = 3/2*((376/9)^(1/2)+26/3)

x^2-(3/2*((376/9)^(1/2)+26/3)) = 0

x^2-3/2*((376/9)^(1/2)+26/3) = 0

1*x^2 = -(-3/2*((376/9)^(1/2)+26/3)) // : 1

x^2 = 3/2*((376/9)^(1/2)+26/3)

x^2 = 3/2*((376/9)^(1/2)+26/3) // ^ 1/2

abs(x) = (3/2)^(1/2)*((376/9)^(1/2)+26/3)^(1/2)

x = (3/2)^(1/2)*((376/9)^(1/2)+26/3)^(1/2) or x = -((3/2)^(1/2)*((376/9)^(1/2)+26/3)^(1/2))

x in { (3/2)^(1/2)*(26/3-(376/9)^(1/2))^(1/2), -((3/2)^(1/2)*(26/3-(376/9)^(1/2))^(1/2)), (3/2)^(1/2)*((376/9)^(1/2)+26/3)^(1/2), -((3/2)^(1/2)*((376/9)^(1/2)+26/3)^(1/2)) }

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