Question

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

Answer 1

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 + 7u`
• 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:
  `7u` => `7u/2` => `(7u/2)^2` => `49u^2/4`
• now add and subtract this term to the initial equation,so that there is no effecyt to this equation,
  `u^2 +7u+ 49u^2/4-49u^2/4`
• now this equation forms of such a kind,
  `(u^2 +7/2)^2 - 49u^2/4`
• now this becomes a complete square.
  Thank you.