Question 876380
{{{5m^2+7=52}}} If we subtract 7 from both sides of the equal sign, we get
{{{5m^2=52-7}}}
{{{5m^2=45}}} Iwwe divide both sides of the equal sign by 5, we get
{{{m^2=45/5}}}
{{{m^2=9}}}
There are two numbers that, when squared, equal 9.
(We could say that we are "taking square roots of both sides of the equal sign, but there is also the messy issue of those {{{"+"}}} and {{{"-"}}} signs).
{{{m^2=9}}} ---> {{{system(m=sqrt(9),"or",m=-sqrt(9))}}} ---> {{{highlight(system(m=3,"or",m=-3))}}}