((x^2)-64)/((x^2)+9x+10)

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Solution for ((x^2)-64)/((x^2)+9x+10) equation: 


D( x )

x^2+9*x+10 = 0

x^2+9*x+10 = 0

x^2+9*x+10 = 0

x^2+9*x+10 = 0

DELTA = 9^2-(1*4*10)

DELTA = 41

DELTA > 0

x = (41^(1/2)-9)/(1*2) or x = (-41^(1/2)-9)/(1*2)

x = (41^(1/2)-9)/2 or x = (-(41^(1/2)+9))/2

x in (-oo:(-(41^(1/2)+9))/2) U ((-(41^(1/2)+9))/2:(41^(1/2)-9)/2) U ((41^(1/2)-9)/2:+oo)

(x^2-64)/(x^2+9*x+10) = 0

x^2+9*x+10 = 0

x^2+9*x+10 = 0

DELTA = 9^2-(1*4*10)

DELTA = 41

DELTA > 0

x = (41^(1/2)-9)/(1*2) or x = (-41^(1/2)-9)/(1*2)

x = (41^(1/2)-9)/2 or x = (-(41^(1/2)+9))/2

(x+(41^(1/2)+9)/2)*(x-((41^(1/2)-9)/2)) = 0

(x^2-64)/((x+(41^(1/2)+9)/2)*(x-((41^(1/2)-9)/2))) = 0

1*x^2 = 64 // : 1

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { 8, -8 }

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