(3x^2-14x-5)/(x-5)

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Solution for (3x^2-14x-5)/(x-5) equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

(3*x^2-(14*x)-5)/(x-5) = 0

(3*x^2-14*x-5)/(x-5) = 0

3*x^2-14*x-5 = 0

3*x^2-14*x-5 = 0

DELTA = (-14)^2-(-5*3*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)+14)/(2*3) or x = (14-256^(1/2))/(2*3)

x = 5 or x = -1/3

(x+1/3)*(x-5) = 0

x+1/3 = 0

x+1/3 = 0 // - 1/3

x = -1/3

x = -1/3

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