Question 262792
Here is the original; question
{{{m^2-(49/2)m=1/2}}}
step 1 - rewrite this as
{{{m^2-(49/2)m + _____ =1/2 + _____}}}
the blanks are waiting for numbers.
step 2 - take 1/2 of the middle term and square it to get
{{{m^2-(49/2)m + (-49/4)^2=1/2 + (-49/4)^2}}}
step 3 - rewrite the left side as a binomial squared and simplify the right sides to get
{{{(m-49/4)^2 = 1/2 + 2401/16}}}
and then
{{{(m-49/4)^2 = 2409/16}}}
step 4 - take a square root of both sides to get
{{{m-49/4 = +-sqrt(2409)/4}}}
step 5- add 49/4 to get
{{{m = (49 +-sqrt(2409))/4}}}
we end with
x ~ 24.52
or
x ~ -0.02