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9.2: Completando la Plaza
https://espanol.libretexts.org/Matematicas/Algebra/Algebra_inicial/09%3A_Resolver_ecuaciones_cuadr%C3%A1ticas_y_graficar_parabolas/9.02%3A_Completando_la_Plaza
$\begin{aligned}\left(x+\frac{b}{2}\right)^{2} &=x^{2}+2 \cdot \frac{b}{2} x+\left(\frac{b}{2}\right)^{2} \\ &=x^{2}+b x+\left(\frac{b}{2}\right)^{2} \end{aligned}$ \(\begin{aligned} x^{2}+8 x+16 &=... $\begin{aligned}\left(x+\frac{b}{2}\right)^{2} &=x^{2}+2 \cdot \frac{b}{2} x+\left(\frac{b}{2}\right)^{2} \\ &=x^{2}+b x+\left(\frac{b}{2}\right)^{2} \end{aligned}$ $\begin{aligned} x^{2}+8 x+16 &=(x+4)(x+4) \\ &=(x+4)^{2} \end{aligned}$ $\begin{array}{l}{\frac{2 x^{2}+5 x-1}{\color{Cerulean}{2}}\color{black}{=}\frac{0}{\color{Cerulean}{2}}} \\ {\frac{2 x^{2}}{2}+\frac{5 x}{2}-\frac{1}{2}=0} \\ {x^{2}+\frac{5}{2} x-\frac{1}{2}=0}\end{array}$

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