(x^2+10x+25)/(x^2+9x+20)

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Solution for (x^2+10x+25)/(x^2+9x+20) equation: 


D( x )

x^2+9*x+20 = 0

x^2+9*x+20 = 0

x^2+9*x+20 = 0

x^2+9*x+20 = 0

DELTA = 9^2-(1*4*20)

DELTA = 1

DELTA > 0

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

x = -4 or x = -5

x in (-oo:-5) U (-5:-4) U (-4:+oo)

(x^2+10*x+25)/(x^2+9*x+20) = 0

x^2+10*x+25 = 0

x^2+10*x+25 = 0

DELTA = 10^2-(1*4*25)

DELTA = 0

x = -10/(1*2)

x = -5 or x = -5

(x+5)^2 = 0

x^2+9*x+20 = 0

x^2+9*x+20 = 0

DELTA = 9^2-(1*4*20)

DELTA = 1

DELTA > 0

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

x = -4 or x = -5

(x+5)*(x+4) = 0

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

x+5 = 0 // - 5

x = -5

x in { -5} 

x belongs to the empty set

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