(x/(x^2-x-6))-(x/(x^2-7x+12))

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Solution for (x/(x^2-x-6))-(x/(x^2-7x+12)) equation:


D( x )

x^2-x-6 = 0

x^2-(7*x)+12 = 0

x^2-x-6 = 0

x^2-x-6 = 0

x^2-x-6 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)

x = 3 or x = -2

x^2-(7*x)+12 = 0

x^2-(7*x)+12 = 0

x^2-7*x+12 = 0

x^2-7*x+12 = 0

DELTA = (-7)^2-(1*4*12)

DELTA = 1

DELTA > 0

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

x = 4 or x = 3

x in (-oo:-2) U (-2:3) U (3:4) U (4:+oo)

x/(x^2-x-6)-(x/(x^2-(7*x)+12)) = 0

x/(x^2-x-6)-(x/(x^2-7*x+12)) = 0

x/(x^2-x-6)+(-1*x)/(x^2-7*x+12) = 0

x^2-x-6 = 0

x^2-x-6 = 0

x^2-x-6 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)+1)/(1*2) or x = (1-25^(1/2))/(1*2)

x = 3 or x = -2

(x+2)*(x-3) = 0

x^2-7*x+12 = 0

x^2-7*x+12 = 0

x^2-7*x+12 = 0

DELTA = (-7)^2-(1*4*12)

DELTA = 1

DELTA > 0

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

x = 4 or x = 3

(x-3)*(x-4) = 0

x/((x+2)*(x-3))+(-1*x)/((x-3)*(x-4)) = 0

x/((x+2)*(x-3))+(-1*x*(x+2))/((x+2)*(x-3)) = 0

x-1*x*(x+2) = 0

-x^2-x = 0

-x^2-x = 0

-x*(x+1) = 0

x+1 = 0 // - 1

x = -1

-x*(x+1) = 0

(-x*(x+1))/((x+2)*(x-3)) = 0

(-x*(x+1))/((x+2)*(x-3)) = 0 // * (x+2)*(x-3)

-x*(x+1) = 0

( -x )

-1*x = 0 // : -1

x = 0

( x+1 )

x+1 = 0 // - 1

x = -1

x in { 0, -1 }

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