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D( x )
x = 0
x^2 = 0
x = 0
x = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
7/(x^2)-(10/x)-8 = 0
7/(x^2)-10*x^-1-8 = 0
7*x^-2-10*x^-1-8 = 0
t_1 = x^-1
7*t_1^2-10*t_1^1-8 = 0
7*t_1^2-10*t_1-8 = 0
DELTA = (-10)^2-(-8*4*7)
DELTA = 324
DELTA > 0
t_1 = (324^(1/2)+10)/(2*7) or t_1 = (10-324^(1/2))/(2*7)
t_1 = 2 or t_1 = -4/7
t_1 = -4/7
x^-1+4/7 = 0
1*x^-1 = -4/7 // : 1
x^-1 = -4/7
-1 < 0
1/(x^1) = -4/7 // * x^1
1 = -4/7*x^1 // : -4/7
-7/4 = x^1
x = -7/4
t_1 = 2
x^-1-2 = 0
1*x^-1 = 2 // : 1
x^-1 = 2
-1 < 0
1/(x^1) = 2 // * x^1
1 = 2*x^1 // : 2
1/2 = x^1
x = 1/2
x in { -7/4, 1/2 }
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