# What do you need to add to complete the square for u^2+7u?

May 19, 2015

For completing the square of a given equation, you have to add and subtract a term,and how to find that term ,i am gonna tell you...

• Firstly ,write the equation separately,
${u}^{2} + 7 u$
• Now,you have to do work upon the term which has less power,for ex in this case you have,7u
Now,divide this term by 2 and then square that term,for ex.
in this case divide 7u by 2 and then square it:
$7 u$ => $7 \frac{u}{2}$ => ${\left(7 \frac{u}{2}\right)}^{2}$ => $49 {u}^{2} / 4$
• now add and subtract this term to the initial equation,so that there is no effecyt to this equation,
${u}^{2} + 7 u + 49 {u}^{2} / 4 - 49 {u}^{2} / 4$
• now this equation forms of such a kind,
${\left({u}^{2} + \frac{7}{2}\right)}^{2} - 49 {u}^{2} / 4$
• now this becomes a complete square.
Thank you.