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D( x )
x^2-100 = 0
x-10 = 0
x^2-100 = 0
x^2-100 = 0
1*x^2 = 100 // : 1
x^2 = 100
x^2 = 100 // ^ 1/2
abs(x) = 10
x = 10 or x = -10
x-10 = 0
x-10 = 0
x-10 = 0 // + 10
x = 10
x in (-oo:-10) U (-10:10) U (10:+oo)
7/(x-10)-(180/(x^2-100)) = 1 // - 1
7/(x-10)-(180/(x^2-100))-1 = 0
7/(x-10)-180*(x^2-100)^-1-1 = 0
7/(x-10)-180/(x^2-100)-1 = 0
(7*(x^2-100))/((x-10)*(x^2-100))+(-180*(x-10))/((x-10)*(x^2-100))+(-1*(x-10)*(x^2-100))/((x-10)*(x^2-100)) = 0
7*(x^2-100)-180*(x-10)-1*(x-10)*(x^2-100) = 0
7*x^2-x^3+10*x^2-180*x+100*x-1000+1100 = 0
17*x^2-x^3-80*x+100 = 0
17*x^2-x^3-80*x+100 = 0
17*x^2-x^3-80*x+100 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 10, -10, 20, -20, 25, -25, 50, -50, 100, -100 }
1
x = 1
17*x^2-x^3-80*x+100 = 36
1
-1
x = -1
17*x^2-x^3-80*x+100 = 198
-1
2
x = 2
17*x^2-x^3-80*x+100 = 0
2
x-2
15*x-x^2-50
17*x^2-x^3-80*x+100
x-2
x^3-2*x^2
15*x^2-80*x+100
30*x-15*x^2
100-50*x
50*x-100
0
15*x-x^2-50 = 0
DELTA = 15^2-(-50*(-1)*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-15)/(-1*2) or x = (-25^(1/2)-15)/(-1*2)
x = 5 or x = 10
x in { 5, 10, 2}
(x-5)*(x-10)*(x-2) = 0
((x-5)*(x-10)*(x-2))/((x-10)*(x^2-100)) = 0
((x-5)*(x-10)*(x-2))/((x-10)*(x^2-100)) = 0 // * (x-10)*(x^2-100)
(x-5)*(x-10)*(x-2) = 0
( x-10 )
x-10 = 0 // + 10
x = 10
( x-2 )
x-2 = 0 // + 2
x = 2
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 10}
x in { 2, 5 }
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