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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)
5/(x^2-(7*x)) = 1/(x^2-49) // - 1/(x^2-49)
5/(x^2-(7*x))-(1/(x^2-49)) = 0
5/(x^2-7*x)-(x^2-49)^-1 = 0
5/(x^2-7*x)-1/(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
5/(x*(x-7))-1/(x^2-49) = 0
(5*(x^2-49))/(x*(x-7)*(x^2-49))+(-1*x*(x-7))/(x*(x-7)*(x^2-49)) = 0
5*(x^2-49)-1*x*(x-7) = 0
4*x^2+7*x-245 = 0
4*x^2+7*x-245 = 0
4*x^2+7*x-245 = 0
DELTA = 7^2-(-245*4*4)
DELTA = 3969
DELTA > 0
x = (3969^(1/2)-7)/(2*4) or x = (-3969^(1/2)-7)/(2*4)
x = 7 or x = -35/4
(x+35/4)*(x-7) = 0
((x+35/4)*(x-7))/(x*(x-7)*(x^2-49)) = 0
((x+35/4)*(x-7))/(x*(x-7)*(x^2-49)) = 0 // * x*(x-7)*(x^2-49)
(x+35/4)*(x-7) = 0
( x+35/4 )
x+35/4 = 0 // - 35/4
x = -35/4
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 7}
x = -35/4
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