(3x^2-13x-10)/(x-5)

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Solution for (3x^2-13x-10)/(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-(13*x)-10)/(x-5) = 0

(3*x^2-13*x-10)/(x-5) = 0

3*x^2-13*x-10 = 0

3*x^2-13*x-10 = 0

DELTA = (-13)^2-(-10*3*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)+13)/(2*3) or x = (13-289^(1/2))/(2*3)

x = 5 or x = -2/3

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

x+2/3 = 0

x+2/3 = 0 // - 2/3

x = -2/3

x = -2/3

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