(x^2-8x+11)/(x-6)

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Solution for (x^2-8x+11)/(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)

(x^2-(8*x)+11)/(x-6) = 0

(x^2-8*x+11)/(x-6) = 0

x^2-8*x+11 = 0

x^2-8*x+11 = 0

DELTA = (-8)^2-(1*4*11)

DELTA = 20

DELTA > 0

x = (20^(1/2)+8)/(1*2) or x = (8-20^(1/2))/(1*2)

x = (2*5^(1/2)+8)/2 or x = (8-2*5^(1/2))/2

(x-((8-2*5^(1/2))/2))*(x-((2*5^(1/2)+8)/2)) = 0

((x-((8-2*5^(1/2))/2))*(x-((2*5^(1/2)+8)/2)))/(x-6) = 0

( x-((2*5^(1/2)+8)/2) )

x-((2*5^(1/2)+8)/2) = 0 // + (2*5^(1/2)+8)/2

x = (2*5^(1/2)+8)/2

( x-((8-2*5^(1/2))/2) )

x-((8-2*5^(1/2))/2) = 0 // + (8-2*5^(1/2))/2

x = (8-2*5^(1/2))/2

x in { (2*5^(1/2)+8)/2, (8-2*5^(1/2))/2 }

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