(r^2-r-6)/(r^2-r-12)

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Solution for (r^2-r-6)/(r^2-r-12) equation:


D( r )

r^2-r-12 = 0

r^2-r-12 = 0

r^2-r-12 = 0

r^2-r-12 = 0

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

DELTA = 49

DELTA > 0

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

r = 4 or r = -3

r in (-oo:-3) U (-3:4) U (4:+oo)

(r^2-r-6)/(r^2-r-12) = 0

r^2-r-6 = 0

r^2-r-6 = 0

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

DELTA = 25

DELTA > 0

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

r = 3 or r = -2

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

r^2-r-12 = 0

r^2-r-12 = 0

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

DELTA = 49

DELTA > 0

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

r = 4 or r = -3

(r+3)*(r-4) = 0

((r+2)*(r-3))/((r+3)*(r-4)) = 0

( r+2 )

r+2 = 0 // - 2

r = -2

( r-3 )

r-3 = 0 // + 3

r = 3

r in { -2, 3 }

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