(9x^2-53x-6)/(x-6)

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Solution for (9x^2-53x-6)/(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)

(9*x^2-(53*x)-6)/(x-6) = 0

(9*x^2-53*x-6)/(x-6) = 0

9*x^2-53*x-6 = 0

9*x^2-53*x-6 = 0

DELTA = (-53)^2-(-6*4*9)

DELTA = 3025

DELTA > 0

x = (3025^(1/2)+53)/(2*9) or x = (53-3025^(1/2))/(2*9)

x = 6 or x = -1/9

(x+1/9)*(x-6) = 0

x+1/9 = 0

x+1/9 = 0 // - 1/9

x = -1/9

x = -1/9

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