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x in (-oo:+oo)
2*x^4+(7/2)*x^2-1 = 0
2*x^4+7/2*x^2-1 = 0
t_1 = x^2
2*t_1^2+7/2*t_1^1-1 = 0
2*t_1^2+7/2*t_1-1 = 0
DELTA = (7/2)^2-(-1*2*4)
DELTA = 81/4
DELTA > 0
t_1 = ((81/4)^(1/2)-7/2)/(2*2) or t_1 = (-(81/4)^(1/2)-7/2)/(2*2)
t_1 = 1/4 or t_1 = -2
t_1 = -2
x^2+2 = 0
1*x^2 = -2 // : 1
x^2 = -2
t_1 = 1/4
x^2-1/4 = 0
1*x^2 = 1/4 // : 1
x^2 = 1/4
x^2 = 1/4 // ^ 1/2
abs(x) = 1/2
x = 1/2 or x = -1/2
x in { 1/2, -1/2 }
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