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D( x )
x^2-(3*x) = 0
x^2-9 = 0
x^2-(3*x) = 0
x^2-(3*x) = 0
x^2-3*x = 0
x^2-3*x = 0
DELTA = (-3)^2-(0*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)+3)/(1*2) or x = (3-9^(1/2))/(1*2)
x = 3 or x = 0
x^2-9 = 0
x^2-9 = 0
1*x^2 = 9 // : 1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
x in (-oo:-3) U (-3:0) U (0:3) U (3:+oo)
8/(x^2-(3*x)) = 1/(x^2-9) // - 1/(x^2-9)
8/(x^2-(3*x))-(1/(x^2-9)) = 0
8/(x^2-3*x)-(x^2-9)^-1 = 0
8/(x^2-3*x)-1/(x^2-9) = 0
x^2-3*x = 0
x^2-3*x = 0
x*(x-3) = 0
x-3 = 0 // + 3
x = 3
x*(x-3) = 0
8/(x*(x-3))-1/(x^2-9) = 0
(8*(x^2-9))/(x*(x-3)*(x^2-9))+(-1*x*(x-3))/(x*(x-3)*(x^2-9)) = 0
8*(x^2-9)-1*x*(x-3) = 0
7*x^2+3*x-72 = 0
7*x^2+3*x-72 = 0
7*x^2+3*x-72 = 0
DELTA = 3^2-(-72*4*7)
DELTA = 2025
DELTA > 0
x = (2025^(1/2)-3)/(2*7) or x = (-2025^(1/2)-3)/(2*7)
x = 3 or x = -24/7
(x+24/7)*(x-3) = 0
((x+24/7)*(x-3))/(x*(x-3)*(x^2-9)) = 0
((x+24/7)*(x-3))/(x*(x-3)*(x^2-9)) = 0 // * x*(x-3)*(x^2-9)
(x+24/7)*(x-3) = 0
( x+24/7 )
x+24/7 = 0 // - 24/7
x = -24/7
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 3}
x = -24/7
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