((9m^2)/(3m))-((4m)/(3m))-((6)/(3m))

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Solution for ((9m^2)/(3m))-((4m)/(3m))-((6)/(3m)) equation:


D( m )

3*m = 0

3*m = 0

3*m = 0

3*m = 0 // : 3

m = 0

m in (-oo:0) U (0:+oo)

(9*m^2)/(3*m)-(6/(3*m))-((4*m)/(3*m)) = 0

(9*m^2)/(3*m)-2*m^-1-4/3 = 0

3*m^1-2*m^-1-4/3*m^0 = 0

(3*m^2-4/3*m^1-2*m^0)/(m^1) = 0 // * m^2

m^1*(3*m^2-4/3*m^1-2*m^0) = 0

m^1

3*m^2+(-4/3)*m-2 = 0

3*m^2+(-4/3)*m-2 = 0

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

DELTA = 232/9

DELTA > 0

m = ((232/9)^(1/2)-(-4/3))/(2*3) or m = (-(-4/3)-(232/9)^(1/2))/(2*3)

m = ((232/9)^(1/2)+4/3)/6 or m = (4/3-(232/9)^(1/2))/6

m in { (4/3-(232/9)^(1/2))/6, ((232/9)^(1/2)+4/3)/6}

m in { (4/3-(232/9)^(1/2))/6, ((232/9)^(1/2)+4/3)/6 }

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