(x^2+11x+15)/(x-1)

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Solution for (x^2+11x+15)/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(x^2+11*x+15)/(x-1) = 0

x^2+11*x+15 = 0

x^2+11*x+15 = 0

DELTA = 11^2-(1*4*15)

DELTA = 61

DELTA > 0

x = (61^(1/2)-11)/(1*2) or x = (-61^(1/2)-11)/(1*2)

x = (61^(1/2)-11)/2 or x = (-(61^(1/2)+11))/2

(x+(61^(1/2)+11)/2)*(x-((61^(1/2)-11)/2)) = 0

((x+(61^(1/2)+11)/2)*(x-((61^(1/2)-11)/2)))/(x-1) = 0

( x+(61^(1/2)+11)/2 )

x+(61^(1/2)+11)/2 = 0 // - (61^(1/2)+11)/2

x = -((61^(1/2)+11)/2)

( x-((61^(1/2)-11)/2) )

x-((61^(1/2)-11)/2) = 0 // + (61^(1/2)-11)/2

x = (61^(1/2)-11)/2

x in { -((61^(1/2)+11)/2), (61^(1/2)-11)/2 }

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