(x^2-10x)/(x^2-21x+110)

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Solution for (x^2-10x)/(x^2-21x+110) equation: 


D( x )

x^2-(21*x)+110 = 0

x^2-(21*x)+110 = 0

x^2-(21*x)+110 = 0

x^2-21*x+110 = 0

x^2-21*x+110 = 0

DELTA = (-21)^2-(1*4*110)

DELTA = 1

DELTA > 0

x = (1^(1/2)+21)/(1*2) or x = (21-1^(1/2))/(1*2)

x = 11 or x = 10

x in (-oo:10) U (10:11) U (11:+oo)

(x^2-(10*x))/(x^2-(21*x)+110) = 0

(x^2-10*x)/(x^2-21*x+110) = 0

x^2-10*x = 0

x*(x-10) = 0

x-10 = 0 // + 10

x = 10

x*(x-10) = 0

x^2-21*x+110 = 0

x^2-21*x+110 = 0

DELTA = (-21)^2-(1*4*110)

DELTA = 1

DELTA > 0

x = (1^(1/2)+21)/(1*2) or x = (21-1^(1/2))/(1*2)

x = 11 or x = 10

(x-10)*(x-11) = 0

(x*(x-10))/((x-10)*(x-11)) = 0

( x-10 )

x-10 = 0 // + 10

x = 10

( x )

x = 0

x in { 10} 

x = 0

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