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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
2*x^2-(5*x)-((9*x)/(x^2))-36 = 0
2*x^2-5*x-9*x^-1-36 = 0
2*x^2-5*x^1-9*x^-1-36*x^0 = 0
(2*x^3-5*x^2-36*x^1-9*x^0)/(x^1) = 0 // * x^2
x^1*(2*x^3-5*x^2-36*x^1-9*x^0) = 0
x^1
2*x^3-5*x^2-36*x-9 = 0
{ 1, -1, 3, -3, 9, -9 }
1
x = 1
2*x^3-5*x^2-36*x-9 = -48
1
-1
x = -1
2*x^3-5*x^2-36*x-9 = 20
-1
3
x = 3
2*x^3-5*x^2-36*x-9 = -108
3
-3
x = -3
2*x^3-5*x^2-36*x-9 = 0
-3
x+3
2*x^2-11*x-3
2*x^3-5*x^2-36*x-9
x+3
-2*x^3-6*x^2
-11*x^2-36*x-9
11*x^2+33*x
-3*x-9
3*x+9
0
2*x^2-11*x-3 = 0
DELTA = (-11)^2-(-3*2*4)
DELTA = 145
DELTA > 0
x = (145^(1/2)+11)/(2*2) or x = (11-145^(1/2))/(2*2)
x = (145^(1/2)+11)/4 or x = (11-145^(1/2))/4
x in { (11-145^(1/2))/4, (145^(1/2)+11)/4, -3}
x in { (11-145^(1/2))/4, (145^(1/2)+11)/4, -3 }
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