(9n^2+12n)/(6n^2+12n)

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Solution for (9n^2+12n)/(6n^2+12n) equation:


D( n )

6*n^2+12*n = 0

6*n^2+12*n = 0

6*n^2+12*n = 0

6*n^2+12*n = 0

DELTA = 12^2-(0*4*6)

DELTA = 144

DELTA > 0

n = (144^(1/2)-12)/(2*6) or n = (-144^(1/2)-12)/(2*6)

n = 0 or n = -2

n in (-oo:-2) U (-2:0) U (0:+oo)

(9*n^2+12*n)/(6*n^2+12*n) = 0

9*n^2+12*n = 0

3*n*(3*n+4) = 0

3*n+4 = 0 // - 4

3*n = -4 // : 3

n = -4/3

3*n*(n+4/3) = 0

6*n^2+12*n = 0

6*n*(n+2) = 0

n+2 = 0 // - 2

n = -2

6*n*(n+2) = 0

(3*n*(n+4/3))/(6*n*(n+2)) = 0

( 3*n )

3*n = 0 // : 3

n = 0

( n+4/3 )

n+4/3 = 0 // - 4/3

n = -4/3

n in { 0}

n = -4/3

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