(x^2-8x-6)/(x-4)^2

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Solution for (x^2-8x-6)/(x-4)^2 equation: 


D( x )

(x-4)^2 = 0

(x-4)^2 = 0

(x-4)^2 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

(x^2-(8*x)-6)/((x-4)^2) = 0

(x^2-8*x-6)/((x-4)^2) = 0

x^2-8*x-6 = 0

x^2-8*x-6 = 0

DELTA = (-8)^2-(-6*1*4)

DELTA = 88

DELTA > 0

x = (88^(1/2)+8)/(1*2) or x = (8-88^(1/2))/(1*2)

x = (2*22^(1/2)+8)/2 or x = (8-2*22^(1/2))/2

(x-((8-2*22^(1/2))/2))*(x-((2*22^(1/2)+8)/2)) = 0

((x-((8-2*22^(1/2))/2))*(x-((2*22^(1/2)+8)/2)))/((x-4)^2) = 0

( x-((2*22^(1/2)+8)/2) )

x-((2*22^(1/2)+8)/2) = 0 // + (2*22^(1/2)+8)/2

x = (2*22^(1/2)+8)/2

( x-((8-2*22^(1/2))/2) )

x-((8-2*22^(1/2))/2) = 0 // + (8-2*22^(1/2))/2

x = (8-2*22^(1/2))/2

x in { (2*22^(1/2)+8)/2, (8-2*22^(1/2))/2 }

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