SOLUTION: Perfect Square Trinomial m^2 + m + 1/4 I tried but my teacher never explained how to do one with a fraction! Please Help!

Question 735007: Perfect Square Trinomial
m^2 + m + 1/4
I tried but my teacher never explained how to do one with a fraction! Please Help!
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
...write and as and

.....factor out

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You are trying to find (m+c)(m+c) so that the constant term is 1/4 and this must be . This would mean, . The question next is, will c=1/2 give you the m term that you need?

You see, you want this:
and .

You must have both, AND . The c^2 as from before means . Using the 2c=1 result, solve for c and find .

There it is. .
.
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