[tex](w-\frac{3}{2})^2-\frac{1409}{4}=0[/tex]
start bringing to the right side the constant portion
[tex](w-\frac{3}{2})^2=\frac{1409}{4}[/tex]
find the square root on both sides
[tex]\begin{gathered} \sqrt[]{(w-\frac{3}{2})^2}=\sqrt[]{\frac{1409}{4}} \\ w-\frac{3}{2}=\frac{\sqrt[]{1409}}{2} \end{gathered}[/tex]
let all constant numbers to one side
[tex]w=\pm\frac{\sqrt[]{1409}}{2}+\frac{3}{2}[/tex]
simplify for both solutions
[tex]\begin{gathered} \\ w_1=\frac{\sqrt[]{1409}+3}{2} \\ \text{and, } \\ w_2=\frac{-\sqrt[]{1409}+3}{2} \end{gathered}[/tex]
approximate the answers
[tex]\begin{gathered} w_1\cong20.27 \\ w_2\cong-17.27 \end{gathered}[/tex]
