(x2-3x-10)/(x2-6x+8)

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Solution for (x2-3x-10)/(x2-6x+8) equation:


D( x )

x^2-(6*x)+8 = 0

x^2-(6*x)+8 = 0

x^2-(6*x)+8 = 0

x^2-6*x+8 = 0

x^2-6*x+8 = 0

DELTA = (-6)^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)

x = 4 or x = 2

x in (-oo:2) U (2:4) U (4:+oo)

(x^2-(3*x)-10)/(x^2-(6*x)+8) = 0

(x^2-3*x-10)/(x^2-6*x+8) = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

(x+2)*(x-5) = 0

x^2-6*x+8 = 0

x^2-6*x+8 = 0

DELTA = (-6)^2-(1*4*8)

DELTA = 4

DELTA > 0

x = (4^(1/2)+6)/(1*2) or x = (6-4^(1/2))/(1*2)

x = 4 or x = 2

(x-2)*(x-4) = 0

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

( x+2 )

x+2 = 0 // - 2

x = -2

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -2, 5 }

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