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D( x )
x^2-(7*x) = 0
x^2-49 = 0
x^2-(7*x) = 0
x^2-(7*x) = 0
x^2-7*x = 0
x^2-7*x = 0
DELTA = (-7)^2-(0*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+7)/(1*2) or x = (7-49^(1/2))/(1*2)
x = 7 or x = 0
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 (-7:0) U (0:7) U (7:+oo)
3/(x^2-(7*x))-(5/(x^2-49)) = 0
3/(x^2-7*x)-5*(x^2-49)^-1 = 0
3/(x^2-7*x)-5/(x^2-49) = 0
x^2-7*x = 0
x^2-7*x = 0
x*(x-7) = 0
x-7 = 0 // + 7
x = 7
x*(x-7) = 0
3/(x*(x-7))-5/(x^2-49) = 0
(3*(x^2-49))/(x*(x-7)*(x^2-49))+(-5*x*(x-7))/(x*(x-7)*(x^2-49)) = 0
3*(x^2-49)-5*x*(x-7) = 0
35*x-2*x^2-147 = 0
35*x-2*x^2-147 = 0
35*x-2*x^2-147 = 0
DELTA = 35^2-(-147*(-2)*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-35)/(-2*2) or x = (-49^(1/2)-35)/(-2*2)
x = 7 or x = 21/2
(x-7)*(x-21/2) = 0
((x-7)*(x-21/2))/(x*(x-7)*(x^2-49)) = 0
((x-7)*(x-21/2))/(x*(x-7)*(x^2-49)) = 0 // * x*(x-7)*(x^2-49)
(x-7)*(x-21/2) = 0
( x-21/2 )
x-21/2 = 0 // + 21/2
x = 21/2
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 7}
x = 21/2
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