Question 317296
Solve the quadratic equation by completing the square:
{{{m^2-(1/2)m=7/2}}}
We need to add a term to complete square:
{{{m^2-(1/2)m + ___ = 7/2 + ___}}}
The term is {{{((1/2)b)^2}}} = {{{((1/2)(1/2))^2}}} = {{{(1/4)^2}}} = {{{1/16}}}

{{{m^2-(1/2)m + (1/16) = 7/2 + (1/16)}}}
Factoring the left:
{{{ (m-(1/4))(m-(1/4)) = 7/2 + (1/16)}}}
{{{ (m-(1/4))^2 = 7/2 + (1/16)}}}
{{{ (m-(1/4))^2 = 56/16 + 1/16}}}
{{{ (m-(1/4))^2 = 57/16}}}
{{{ m-(1/4) = sqrt(57/16)}}}
{{{ m = sqrt(57/16) + (1/4)}}}
{{{ m = sqrt(57)/4 + 1/4}}}
{{{ m = (sqrt(57)+1)/4}}}
{{{ m = 2.1375}}}