(x^2-7x-17)/(x-9)

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Solution for (x^2-7x-17)/(x-9) equation: 


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

(x^2-(7*x)-17)/(x-9) = 0

(x^2-7*x-17)/(x-9) = 0

x^2-7*x-17 = 0

x^2-7*x-17 = 0

DELTA = (-7)^2-(-17*1*4)

DELTA = 117

DELTA > 0

x = (117^(1/2)+7)/(1*2) or x = (7-117^(1/2))/(1*2)

x = (3*13^(1/2)+7)/2 or x = (7-3*13^(1/2))/2

(x-((7-3*13^(1/2))/2))*(x-((3*13^(1/2)+7)/2)) = 0

((x-((7-3*13^(1/2))/2))*(x-((3*13^(1/2)+7)/2)))/(x-9) = 0

( x-((3*13^(1/2)+7)/2) )

x-((3*13^(1/2)+7)/2) = 0 // + (3*13^(1/2)+7)/2

x = (3*13^(1/2)+7)/2

( x-((7-3*13^(1/2))/2) )

x-((7-3*13^(1/2))/2) = 0 // + (7-3*13^(1/2))/2

x = (7-3*13^(1/2))/2

x in { (3*13^(1/2)+7)/2, (7-3*13^(1/2))/2 }

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