(x^2-10x-30)/(x-5)

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Solution for (x^2-10x-30)/(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)

(x^2-(10*x)-30)/(x-5) = 0

(x^2-10*x-30)/(x-5) = 0

x^2-10*x-30 = 0

x^2-10*x-30 = 0

DELTA = (-10)^2-(-30*1*4)

DELTA = 220

DELTA > 0

x = (220^(1/2)+10)/(1*2) or x = (10-220^(1/2))/(1*2)

x = (2*55^(1/2)+10)/2 or x = (10-2*55^(1/2))/2

(x-((10-2*55^(1/2))/2))*(x-((2*55^(1/2)+10)/2)) = 0

((x-((10-2*55^(1/2))/2))*(x-((2*55^(1/2)+10)/2)))/(x-5) = 0

( x-((10-2*55^(1/2))/2) )

x-((10-2*55^(1/2))/2) = 0 // + (10-2*55^(1/2))/2

x = (10-2*55^(1/2))/2

( x-((2*55^(1/2)+10)/2) )

x-((2*55^(1/2)+10)/2) = 0 // + (2*55^(1/2)+10)/2

x = (2*55^(1/2)+10)/2

x in { (10-2*55^(1/2))/2, (2*55^(1/2)+10)/2 }

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