(2x^2-5x-3)/(x-3)

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Solution for (2x^2-5x-3)/(x-3) equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

(2*x^2-(5*x)-3)/(x-3) = 0

(2*x^2-5*x-3)/(x-3) = 0

2*x^2-5*x-3 = 0

2*x^2-5*x-3 = 0

DELTA = (-5)^2-(-3*2*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*2) or x = (5-49^(1/2))/(2*2)

x = 3 or x = -1/2

(x+1/2)*(x-3) = 0

x+1/2 = 0

x+1/2 = 0 // - 1/2

x = -1/2

x = -1/2

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