(x^2-4x-5)/x-5

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Solution for (x^2-4x-5)/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(x^2-(4*x)-5)/x-5 = 0

(x^2-4*x-5)/x-5 = 0

(x^2-4*x-5)/x+(-5*x)/x = 0

x^2-4*x-5*x-5 = 0

x^2-9*x-5 = 0

x^2-9*x-5 = 0

x^2-9*x-5 = 0

DELTA = (-9)^2-(-5*1*4)

DELTA = 101

DELTA > 0

x = (101^(1/2)+9)/(1*2) or x = (9-101^(1/2))/(1*2)

x = (101^(1/2)+9)/2 or x = (9-101^(1/2))/2

(x-((9-101^(1/2))/2))*(x-((101^(1/2)+9)/2)) = 0

((x-((9-101^(1/2))/2))*(x-((101^(1/2)+9)/2)))/x = 0

((x-((9-101^(1/2))/2))*(x-((101^(1/2)+9)/2)))/x = 0 // * x

(x-((9-101^(1/2))/2))*(x-((101^(1/2)+9)/2)) = 0

( x-((101^(1/2)+9)/2) )

x-((101^(1/2)+9)/2) = 0 // + (101^(1/2)+9)/2

x = (101^(1/2)+9)/2

( x-((9-101^(1/2))/2) )

x-((9-101^(1/2))/2) = 0 // + (9-101^(1/2))/2

x = (9-101^(1/2))/2

x in { (101^(1/2)+9)/2, (9-101^(1/2))/2 }

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