\(=y^2+y-24=\left(y^2+\dfrac{1}{2}\cdot y\cdot2+\dfrac{1}{4}\right)-\dfrac{97}{4}\)
\(=\left(y+\dfrac{1}{2}\right)^2-\left(\dfrac{\sqrt{97}}{\sqrt{4}}\right)^2=\left(y+\dfrac{1}{2}-\dfrac{\sqrt{97}}{2}\right)\left(y+\dfrac{1}{2}+\dfrac{\sqrt{97}}{1}\right)=\left(y+\dfrac{1-\sqrt{97}}{2}\right)\left(y+\dfrac{1+\sqrt{97}}{2}\right)\)