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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)
10/(x^2)-(7/x)+1 = 0
10/(x^2)-7*x^-1+1 = 0
10*x^-2-7*x^-1+1 = 0
t_1 = x^-1
10*t_1^2-7*t_1^1+1 = 0
10*t_1^2-7*t_1+1 = 0
DELTA = (-7)^2-(1*4*10)
DELTA = 9
DELTA > 0
t_1 = (9^(1/2)+7)/(2*10) or t_1 = (7-9^(1/2))/(2*10)
t_1 = 1/2 or t_1 = 1/5
t_1 = 1/5
x^-1-1/5 = 0
1*x^-1 = 1/5 // : 1
x^-1 = 1/5
-1 < 0
1/(x^1) = 1/5 // * x^1
1 = 1/5*x^1 // : 1/5
5 = x^1
x = 5
t_1 = 1/2
x^-1-1/2 = 0
1*x^-1 = 1/2 // : 1
x^-1 = 1/2
-1 < 0
1/(x^1) = 1/2 // * x^1
1 = 1/2*x^1 // : 1/2
2 = x^1
x = 2
x in { 5, 2 }
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