Question

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2+5/2n

Answer 1

Answer:  $\bigg(n+\dfrac{5}{4}\bigg)^2$

Step-by-step explanation:

$n^2+\dfrac{5}{2}n+\underline{\qquad}\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{2\cdot 2}\bigg)^2\\\\\\n^2+\dfrac{5}{2}n+\bigg(\dfrac{5}{4}\bigg)^2\\\\\\=\bigg(n+\dfrac{5}{4}\bigg)^2$