(x^2-2x-3)/(x^2-8x+7)

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Solution for (x^2-2x-3)/(x^2-8x+7) equation:


D( x )

x^2-(8*x)+7 = 0

x^2-(8*x)+7 = 0

x^2-(8*x)+7 = 0

x^2-8*x+7 = 0

x^2-8*x+7 = 0

DELTA = (-8)^2-(1*4*7)

DELTA = 36

DELTA > 0

x = (36^(1/2)+8)/(1*2) or x = (8-36^(1/2))/(1*2)

x = 7 or x = 1

x in (-oo:1) U (1:7) U (7:+oo)

(x^2-(2*x)-3)/(x^2-(8*x)+7) = 0

(x^2-2*x-3)/(x^2-8*x+7) = 0

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

(x+1)*(x-3) = 0

x^2-8*x+7 = 0

x^2-8*x+7 = 0

DELTA = (-8)^2-(1*4*7)

DELTA = 36

DELTA > 0

x = (36^(1/2)+8)/(1*2) or x = (8-36^(1/2))/(1*2)

x = 7 or x = 1

(x-1)*(x-7) = 0

((x+1)*(x-3))/((x-1)*(x-7)) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -1, 3 }

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