Question

\(x^{2} + 2.x.\dfrac{7}{2} + (\dfrac{7}{2})^{2} + (7 - \dfrac{49}{4})\)

Answer 1

\(=\left(x+\dfrac{7}{2}\right)^2+\left(\dfrac{28-49}{4}\right)\\ =\left(x+\dfrac{7}{2}\right)^2-\dfrac{21}{4}\\ =\left(x+\dfrac{7}{2}-\dfrac{\sqrt{21}}{2}\right)\left(x+\dfrac{7}{2}+\dfrac{\sqrt{21}}{2}\right)\)

Answer 2

\(=\left(x+\dfrac{7}{2}\right)^2-\dfrac{21}{4}\)

Answer 3

= (x + 7/2)² - 21/4