Answer:
w = -14.39, 1.39
Explanations:
The given quadratic equation is:
[tex]w^2+13w=20[/tex]
Add (13/2)² to both sides of the equation
[tex]\begin{gathered} w^2+13w+(\frac{13}{2})^2=20+(\frac{13}{2})^2 \\ (w+\frac{13}{2})^2=\text{ 20+}\frac{169}{4} \\ (w+\frac{13}{2})^2=\text{ }\frac{249}{4} \\ w+\frac{13}{2}=\pm\text{ }\sqrt[]{\frac{249}{4}} \\ w\text{ = }\frac{-13}{2}\pm\sqrt[]{\frac{249}{4}} \end{gathered}[/tex][tex]\begin{gathered} w\text{ = -6.5}\pm7.89 \\ w\text{ = -6.5+7.89 = }1.39 \\ w\text{ = -6.5-7.89 = }-14.39 \end{gathered}[/tex]
w = -14.39, 1.39
