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D( x )
x+7 = 0
7-x = 0
x^2-49 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
7-x = 0
7-x = 0
7-x = 0 // - 7
-x = -7 // * -1
x = 7
x^2-49 = 0
x^2-49 = 0
1*x^2 = 49 // : 1
x^2 = 49
x^2 = 49 // ^ 1/2
abs(x) = 7
x = 7 or x = -7
x in (-oo:-7) U (-7:7) U (7:+oo)
5/(x^2-49)+1/(7-x)-(1/(x+7)) = 0
5/(x^2-49)+1/(7-x)-(x+7)^-1 = 0
5/(x^2-49)+1/(7-x)-1/(x+7) = 0
(5*(7-x)*(x+7))/((x^2-49)*(7-x)*(x+7))+(1*(x^2-49)*(x+7))/((x^2-49)*(7-x)*(x+7))+(-1*(x^2-49)*(7-x))/((x^2-49)*(7-x)*(x+7)) = 0
5*(7-x)*(x+7)+1*(x^2-49)*(x+7)-1*(x^2-49)*(7-x) = 0
x^3+x^3+2*x^2-7*x^2-49*x-49*x-98+343 = 0
2*x^3-5*x^2-98*x+245 = 0
2*x^3-5*x^2-98*x+245 = 0
2*x^3-5*x^2-98*x+245 = 0
{ 1, -1, 5, -5, 7, -7, 35, -35, 49, -49, 245, -245 }
1
x = 1
2*x^3-5*x^2-98*x+245 = 144
1
-1
x = -1
2*x^3-5*x^2-98*x+245 = 336
-1
5
x = 5
2*x^3-5*x^2-98*x+245 = -120
5
-5
x = -5
2*x^3-5*x^2-98*x+245 = 360
-5
7
x = 7
2*x^3-5*x^2-98*x+245 = 0
7
x-7
2*x^2+9*x-35
2*x^3-5*x^2-98*x+245
x-7
14*x^2-2*x^3
9*x^2-98*x+245
63*x-9*x^2
245-35*x
35*x-245
0
2*x^2+9*x-35 = 0
DELTA = 9^2-(-35*2*4)
DELTA = 361
DELTA > 0
x = (361^(1/2)-9)/(2*2) or x = (-361^(1/2)-9)/(2*2)
x = 5/2 or x = -7
x in { -7, 5/2, 7}
(x+7)*(x-5/2)*(x-7) = 0
((x+7)*(x-5/2)*(x-7))/((x^2-49)*(7-x)*(x+7)) = 0
((x+7)*(x-5/2)*(x-7))/((x^2-49)*(7-x)*(x+7)) = 0 // * (x^2-49)*(7-x)*(x+7)
(x+7)*(x-5/2)*(x-7) = 0
( x+7 )
x+7 = 0 // - 7
x = -7
( x-5/2 )
x-5/2 = 0 // + 5/2
x = 5/2
( x-7 )
x-7 = 0 // + 7
x = 7
x in { -7}
x in { 7}
x = 5/2
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