How do you solve #x^2+10x+16=0# by completing the squares?
To complete the square put the two
Complete the square by multiplying the
and adding the square of this number to the right side of the equation:
To solve, square root both sides of the equation:
The process of completing the square is done by adding a missing term to an expression so as to create the square of a binomial.
The required constant is determined from
Add this to both sides of the equation:
The left side is now the square of a binomial, ie a perfect square.
This leads to two solutions: