(x2-7x-11)/(x-8)

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Solution for (x2-7x-11)/(x-8) equation: 


D( x )

x-8 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:8) U (8:+oo)

(x^2-(7*x)-11)/(x-8) = 0

(x^2-7*x-11)/(x-8) = 0

x^2-7*x-11 = 0

x^2-7*x-11 = 0

DELTA = (-7)^2-(-11*1*4)

DELTA = 93

DELTA > 0

x = (93^(1/2)+7)/(1*2) or x = (7-93^(1/2))/(1*2)

x = (93^(1/2)+7)/2 or x = (7-93^(1/2))/2

(x-((7-93^(1/2))/2))*(x-((93^(1/2)+7)/2)) = 0

((x-((7-93^(1/2))/2))*(x-((93^(1/2)+7)/2)))/(x-8) = 0

( x-((7-93^(1/2))/2) )

x-((7-93^(1/2))/2) = 0 // + (7-93^(1/2))/2

x = (7-93^(1/2))/2

( x-((93^(1/2)+7)/2) )

x-((93^(1/2)+7)/2) = 0 // + (93^(1/2)+7)/2

x = (93^(1/2)+7)/2

x in { (7-93^(1/2))/2, (93^(1/2)+7)/2 }

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