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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
16-(x+3/x)^2 = 0
16-1*(x+3*x^-1)^2 = 0
16-1*(x+3*x^-1)^2 = 0
10-x^2-9*x^-2 = 0
10-x^2-9*x^-2 = 0
10*x^0-1*x^2-9*x^-2 = 0
(10*x^2-1*x^4-9*x^0)/(x^2) = 0 // * x^4
x^2*(10*x^2-1*x^4-9*x^0) = 0
x^2
10*x^2-x^4-9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
10*x^2-x^4-9 = 0
1
x-1
9*x-x^3-x^2+9
10*x^2-x^4-9
x-1
x^4-x^3
10*x^2-x^3-9
x^3-x^2
9*x^2-9
9*x-9*x^2
9*x-9
9-9*x
0
9*x-x^3-x^2+9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
9*x-x^3-x^2+9 = 16
1
-1
x = -1
9*x-x^3-x^2+9 = 0
-1
x+1
9-x^2
9*x-x^3-x^2+9
x+1
x^3+x^2
9*x+9
-9*x-9
0
9-x^2 = 0
DELTA = 0^2-(-1*4*9)
DELTA = 36
DELTA > 0
x = (36^(1/2)+0)/(-1*2) or x = (0-36^(1/2))/(-1*2)
x = -3 or x = 3
x in { -3, 3, 1, -1}
(x+3)*(x-3)*(x-1)*(x+1) = 0
(x+3)*(x-3)*(x-1)*(x+1) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x+3 )
x+3 = 0 // - 3
x = -3
( x-1 )
x-1 = 0 // + 1
x = 1
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -1, -3, 1, 3 }
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