(x2-3x-18)/(x-6)

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Solution for (x2-3x-18)/(x-6) equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

(x^2-(3*x)-18)/(x-6) = 0

(x^2-3*x-18)/(x-6) = 0

x^2-3*x-18 = 0

x^2-3*x-18 = 0

DELTA = (-3)^2-(-18*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(1*2) or x = (3-81^(1/2))/(1*2)

x = 6 or x = -3

(x+3)*(x-6) = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x = -3

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