Question

i inserted a picture of the question which is question 8, i can give you the answer to the previous question which is question 7 if it helps

Answer 1

`(w-(3)/(2))^2-(1409)/(4)=0`

start bringing to the right side the constant portion

`(w-(3)/(2))^2=(1409)/(4)`

find the square root on both sides

`\begin{gathered} \sqrt[]{(w-(3)/(2))^2}=\sqrt[]{(1409)/(4)} \\ w-(3)/(2)=\frac{\sqrt[]{1409}}{2} \end{gathered}`

let all constant numbers to one side

`w=\pm\frac{\sqrt[]{1409}}{2}+(3)/(2)`

simplify for both solutions

`\begin{gathered} \\ w_1=\frac{\sqrt[]{1409}+3}{2} \\ \text{and, } \\ w_2=\frac{-\sqrt[]{1409}+3}{2} \end{gathered}`

approximate the answers

`\begin{gathered} w_1\cong20.27 \\ w_2\cong-17.27 \end{gathered}`