Question

i inserted a picture of the question which is question 7, i can give you the answer to the previous question which is question 6 if it helps

Answer 1

The first thing we have to know is that the trinomial (polynomial of three terms) is called a perfect square trinomial, the polynomial that when factorized gives us a perfect squared expression in the following way

`a^2+2ab+b^2=(a+b)^2`
`\begin{gathered} w^2-3w=350 \\ a=1 \\ 2ab=-3 \\ b=-(3)/(2) \\ b^2=(9)/(4) \end{gathered}`
`\begin{gathered} w^2-3w-(9)/(4)=350-(9)/(4) \\ w^2-3w-(9)/(4)=347.75 \\ (w-(3)/(2))^2=347.75 \end{gathered}`
`(w-(3)/(2))^2-(1409)/(4)=0\to\text{answer}`