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D( x )
9-x^2 = 0
2*x+6 = 0
9-x^2 = 0
9-x^2 = 0
-1*x^2 = -9 // : -1
x^2 = 9
x^2 = 9 // ^ 1/2
abs(x) = 3
x = 3 or x = -3
2*x+6 = 0
2*x+6 = 0
2*x+6 = 0 // - 6
2*x = -6 // : 2
x = -6/2
x = -3
x in (-oo:-3) U (-3:3) U (3:+oo)
(x+7)/(2*x+6) = x/(9-x^2) // - x/(9-x^2)
(x+7)/(2*x+6)-(x/(9-x^2)) = 0
(x+7)/(2*x+6)+(-1*x)/(9-x^2) = 0
((x+7)*(9-x^2))/((2*x+6)*(9-x^2))+(-1*x*(2*x+6))/((2*x+6)*(9-x^2)) = 0
(x+7)*(9-x^2)-1*x*(2*x+6) = 0
3*x-x^3-9*x^2+63 = 0
3*x-x^3-9*x^2+63 = 0
3*x-x^3-9*x^2+63 = 0
{ 1, -1, 3, -3, 7, -7, 9, -9, 21, -21, 63, -63 }
1
x = 1
3*x-x^3-9*x^2+63 = 56
1
-1
x = -1
3*x-x^3-9*x^2+63 = 52
-1
3
x = 3
3*x-x^3-9*x^2+63 = -36
3
-3
x = -3
3*x-x^3-9*x^2+63 = 0
-3
x+3
21-x^2-6*x
3*x-x^3-9*x^2+63
x+3
x^3+3*x^2
3*x-6*x^2+63
6*x^2+18*x
21*x+63
-21*x-63
0
21-x^2-6*x = 0
DELTA = (-6)^2-(-1*4*21)
DELTA = 120
DELTA > 0
x = (120^(1/2)+6)/(-1*2) or x = (6-120^(1/2))/(-1*2)
x = (2*30^(1/2)+6)/(-2) or x = (6-2*30^(1/2))/(-2)
x in { (2*30^(1/2)+6)/(-2), (6-2*30^(1/2))/(-2), -3}
(x-((2*30^(1/2)+6)/(-2)))*(x-((6-2*30^(1/2))/(-2)))*(x+3) = 0
((x-((2*30^(1/2)+6)/(-2)))*(x-((6-2*30^(1/2))/(-2)))*(x+3))/((2*x+6)*(9-x^2)) = 0
((x-((2*30^(1/2)+6)/(-2)))*(x-((6-2*30^(1/2))/(-2)))*(x+3))/((2*x+6)*(9-x^2)) = 0 // * (2*x+6)*(9-x^2)
(x-((2*30^(1/2)+6)/(-2)))*(x-((6-2*30^(1/2))/(-2)))*(x+3) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-((2*30^(1/2)+6)/(-2)) )
x-((2*30^(1/2)+6)/(-2)) = 0 // + (2*30^(1/2)+6)/(-2)
x = (2*30^(1/2)+6)/(-2)
( x-((6-2*30^(1/2))/(-2)) )
x-((6-2*30^(1/2))/(-2)) = 0 // + (6-2*30^(1/2))/(-2)
x = (6-2*30^(1/2))/(-2)
x in { -3}
x in { (2*30^(1/2)+6)/(-2), (6-2*30^(1/2))/(-2) }
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