Subject: Completing the Square.
Lexa Michaels. the question: how do you complete a square? the textbook question is: x^{ 4} + 64 Hi Lexa,Completing a square involves seeing a pattern in an algebraic expression. The pattern is on the right hand side of the expression The pattern I see is in the relationship between the coefficient of y, 2a, and the constant term a^{ 2}. To make this match your expression first y = x^{ 2} so that y^{ 2} = (x^{ 2})^{ 2} = x^{ 4}. Second you have a^{ 2} = 64 so a = 8 and hence 2a = 16. Thus to complete the square with x^{ 4} + 64, add 16 x^{ 2} to get Penny
