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D( x )
x^2-9 = 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 (-3:3) U (3:+oo)
2*x-(7/(x^2-9))-((x-4)/(x^2-9)) = 0
2*x-7*(x^2-9)^-1-((x-4)/(x^2-9)) = 0
(-1*(x-4))/(x^2-9)-7/(x^2-9)+2*x = 0
(-1*(x-4))/(x^2-9)-7/(x^2-9)+(2*x*(x^2-9))/(x^2-9) = 0
2*x*(x^2-9)-1*(x-4)-7 = 0
2*x^3-x-18*x-3 = 0
2*x^3-19*x-3 = 0
2*x^3-19*x-3 = 0
2*x^3-19*x-3 = 0
{ 1, -1, 3, -3 }
1
x = 1
2*x^3-19*x-3 = -20
1
-1
x = -1
2*x^3-19*x-3 = 14
-1
3
x = 3
2*x^3-19*x-3 = -6
3
-3
x = -3
2*x^3-19*x-3 = 0
-3
x+3
2*x^2-6*x-1
2*x^3-19*x-3
x+3
-2*x^3-6*x^2
-6*x^2-19*x-3
6*x^2+18*x
-x-3
x+3
0
2*x^2-6*x-1 = 0
DELTA = (-6)^2-(-1*2*4)
DELTA = 44
DELTA > 0
x = (44^(1/2)+6)/(2*2) or x = (6-44^(1/2))/(2*2)
x = (2*11^(1/2)+6)/4 or x = (6-2*11^(1/2))/4
x in { (6-2*11^(1/2))/4, (2*11^(1/2)+6)/4, -3}
(x-((6-2*11^(1/2))/4))*(x-((2*11^(1/2)+6)/4))*(x+3) = 0
((x-((6-2*11^(1/2))/4))*(x-((2*11^(1/2)+6)/4))*(x+3))/(x^2-9) = 0
((x-((6-2*11^(1/2))/4))*(x-((2*11^(1/2)+6)/4))*(x+3))/(x^2-9) = 0 // * x^2-9
(x-((6-2*11^(1/2))/4))*(x-((2*11^(1/2)+6)/4))*(x+3) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-((2*11^(1/2)+6)/4) )
x-((2*11^(1/2)+6)/4) = 0 // + (2*11^(1/2)+6)/4
x = (2*11^(1/2)+6)/4
( x-((6-2*11^(1/2))/4) )
x-((6-2*11^(1/2))/4) = 0 // + (6-2*11^(1/2))/4
x = (6-2*11^(1/2))/4
x in { -3}
x in { (2*11^(1/2)+6)/4, (6-2*11^(1/2))/4 }
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