((x^2)-2x)/((x^2)-(7x)-10)

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Solution for ((x^2)-2x)/((x^2)-(7x)-10) equation:


D( x )

x^2-(7*x)-10 = 0

x^2-(7*x)-10 = 0

x^2-(7*x)-10 = 0

x^2-7*x-10 = 0

x^2-7*x-10 = 0

DELTA = (-7)^2-(-10*1*4)

DELTA = 89

DELTA > 0

x = (89^(1/2)+7)/(1*2) or x = (7-89^(1/2))/(1*2)

x = (89^(1/2)+7)/2 or x = (7-89^(1/2))/2

x in (-oo:(7-89^(1/2))/2) U ((7-89^(1/2))/2:(89^(1/2)+7)/2) U ((89^(1/2)+7)/2:+oo)

(x^2-(2*x))/(x^2-(7*x)-10) = 0

(x^2-2*x)/(x^2-7*x-10) = 0

x^2-2*x = 0

x*(x-2) = 0

x-2 = 0 // + 2

x = 2

x*(x-2) = 0

x^2-7*x-10 = 0

x^2-7*x-10 = 0

DELTA = (-7)^2-(-10*1*4)

DELTA = 89

DELTA > 0

x = (89^(1/2)+7)/(1*2) or x = (7-89^(1/2))/(1*2)

x = (89^(1/2)+7)/2 or x = (7-89^(1/2))/2

(x-((7-89^(1/2))/2))*(x-((89^(1/2)+7)/2)) = 0

(x*(x-2))/((x-((7-89^(1/2))/2))*(x-((89^(1/2)+7)/2))) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x )

x = 0

x in { 2, 0 }

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