[Solution] Suppose the equation gives y implicitly as a function of x : 3 x^2+x y+5 y^2=158 Do analytically and exactly, showing all steps. Find the exact
Question: Suppose the equation gives \(y\) implicitly as a function of \(x\) :
\[3 x^{2}+x y+5 y^{2}=158\]Do analytically and exactly, showing all steps.
Find the exact coordinates of the point(s) on the graph with a normal line slope of \(m=-\frac{39}{2}\). Give the \(x\) coordinate of the point you found accurate to 3 decimal places. If you have found more than one point, give the least coordinate that you have found.
Deliverable: Word Document 