-4/9+x^4-37/9x^2=0

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Solution for -4/9+x^4-37/9x^2=0 equation: 


x in (-oo:+oo)

x^4-((37/9)*x^2)-4/9 = 0

x^4+(-37/9)*x^2-4/9 = 0

x^4-37/9*x^2-4/9 = 0

t_1 = x^2

1*t_1^2-37/9*t_1^1-4/9 = 0

t_1^2-37/9*t_1-4/9 = 0

DELTA = (-37/9)^2-(-4/9*1*4)

DELTA = 1513/81

DELTA > 0

t_1 = ((1513/81)^(1/2)+37/9)/(1*2) or t_1 = (37/9-(1513/81)^(1/2))/(1*2)

t_1 = ((1513/81)^(1/2)+37/9)/2 or t_1 = (37/9-(1513/81)^(1/2))/2

t_1 = (37/9-(1513/81)^(1/2))/2

x^2-((37/9-(1513/81)^(1/2))/2) = 0

1*x^2 = (37/9-(1513/81)^(1/2))/2 // : 1

x^2 = (37/9-(1513/81)^(1/2))/2

t_1 = ((1513/81)^(1/2)+37/9)/2

x^2-(((1513/81)^(1/2)+37/9)/2) = 0

1*x^2 = ((1513/81)^(1/2)+37/9)/2 // : 1

x^2 = ((1513/81)^(1/2)+37/9)/2

x^2 = ((1513/81)^(1/2)+37/9)/2 // ^ 1/2

abs(x) = (((1513/81)^(1/2)+37/9)^(1/2))/(2^(1/2))

x = (((1513/81)^(1/2)+37/9)^(1/2))/(2^(1/2)) or x = -((((1513/81)^(1/2)+37/9)^(1/2))/(2^(1/2)))

x in { (((1513/81)^(1/2)+37/9)^(1/2))/(2^(1/2)), -((((1513/81)^(1/2)+37/9)^(1/2))/(2^(1/2))) }

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