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D( x )
x+2 = 0
x^2-(7*x)-18 = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x^2-(7*x)-18 = 0
x^2-(7*x)-18 = 0
x^2-7*x-18 = 0
x^2-7*x-18 = 0
DELTA = (-7)^2-(-18*1*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+7)/(1*2) or x = (7-121^(1/2))/(1*2)
x = 9 or x = -2
x in (-oo:-2) U (-2:9) U (9:+oo)
-40/(x^2-(7*x)-18) = (2*x)/(x+2) // - (2*x)/(x+2)
-40/(x^2-(7*x)-18)-((2*x)/(x+2)) = 0
-40/(x^2-7*x-18)-2*x*(x+2)^-1 = 0
(-2*x)/(x+2)-40/(x^2-7*x-18) = 0
x^2-7*x-18 = 0
x^2-7*x-18 = 0
x^2-7*x-18 = 0
DELTA = (-7)^2-(-18*1*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)+7)/(1*2) or x = (7-121^(1/2))/(1*2)
x = 9 or x = -2
(x+2)*(x-9) = 0
(-2*x)/(x+2)-40/((x+2)*(x-9)) = 0
(-2*x*(x-9))/((x+2)*(x-9))-40/((x+2)*(x-9)) = 0
-2*x*(x-9)-40 = 0
18*x-2*x^2-40 = 0
18*x-2*x^2-40 = 0
2*(9*x-x^2-20) = 0
9*x-x^2-20 = 0
DELTA = 9^2-(-20*(-1)*4)
DELTA = 1
DELTA > 0
x = (1^(1/2)-9)/(-1*2) or x = (-1^(1/2)-9)/(-1*2)
x = 4 or x = 5
2*(x-4)*(x-5) = 0
(2*(x-4)*(x-5))/((x+2)*(x-9)) = 0
(2*(x-4)*(x-5))/((x+2)*(x-9)) = 0 // * (x+2)*(x-9)
2*(x-4)*(x-5) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 4, 5 }
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