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D( x )
x < 0
x < 0
x in <0:+oo)
3*x^(3/2) = 7*x^(3/4)-2 // - 7*x^(3/4)-2
3*x^(3/2)-(7*x^(3/4))+2 = 0
3*x^(3/2)-7*x^(3/4)+2 = 0
t_1 = x^(3/4)
3*t_1^2-7*t_1^1+2 = 0
3*t_1^2-7*t_1+2 = 0
DELTA = (-7)^2-(2*3*4)
DELTA = 25
DELTA > 0
t_1 = (25^(1/2)+7)/(2*3) or t_1 = (7-25^(1/2))/(2*3)
t_1 = 2 or t_1 = 1/3
t_1 = 1/3
x^(3/4)-1/3 = 0
1*x^(3/4) = 1/3 // : 1
x^(3/4) = 1/3
x^(3/4) = 1/3 // ^ 4
x^3 = 1/81 // ^ 1/3
x = (1/81)^(1/3)
t_1 = 2
x^(3/4)-2 = 0
1*x^(3/4) = 2 // : 1
x^(3/4) = 2
x^(3/4) = 2 // ^ 4
x^3 = 16 // ^ 1/3
x = 2*2^(1/3)
x in { (1/81)^(1/3), 2*2^(1/3) }
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