Question 925474
Choose the case level and stay with the choice.
I am using all lower-case.


Roots {{{x=(-m+- sqrt(m^2-4*12))/2}}}


{{{m^2-48>=0}}}
{{{m^2>=48}}}
{{{m^2>=2*2*2*2*3}}}
{{{m>=4sqrt(3)}}}  OR {{{m<=0-4sqrt(3)}}}



{{{(-m-sqrt(m^2-48))/2=3(-m+sqrt(m^2-48))/2}}}

{{{-m-sqrt(m^2-48)=-3m+3sqrt(m^2-48)}}}

{{{2m-sqrt(m^2-48)=3sqrt(m^2-48)}}}

{{{2m=4sqrt(m^2-48)}}}

{{{m=2sqrt(m^2-48)}}}

{{{m^2=4(m^2-48)}}}

{{{m^2=4m^2-4*48}}}

{{{0=3m^2-4*48}}}

{{{3m^2=4*24*2}}}

{{{m^2=4*8*2}}}

{{{highlight(m=-8)}}}  or  {{{highlight(m=8)}}}