(x^2-9x-162)/(x-9)

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Solution for (x^2-9x-162)/(x-9) equation: 


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

(x^2-(9*x)-162)/(x-9) = 0

(x^2-9*x-162)/(x-9) = 0

x^2-9*x-162 = 0

x^2-9*x-162 = 0

DELTA = (-9)^2-(-162*1*4)

DELTA = 729

DELTA > 0

x = (729^(1/2)+9)/(1*2) or x = (9-729^(1/2))/(1*2)

x = 18 or x = -9

(x+9)*(x-18) = 0

((x+9)*(x-18))/(x-9) = 0

( x+9 )

x+9 = 0 // - 9

x = -9

( x-18 )

x-18 = 0 // + 18

x = 18

x in { -9, 18 }

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