Finally, substituting m=m\ns+ gives us a relation between a, b, and y: y2=92ab. Thus, we have the following: \[\begin{split} a > {y^2\over 4b} \quad &\colon \quad \h...Finally, substituting m=m\ns+ gives us a relation between a, b, and y: y2=92ab. Thus, we have the following: a>y24b:1 real root m=0y24b>a>2y29b:3 real roots; minimum at m=02y29b>a:3 real roots; minimum at m=y2b+√(y2b)2−ab The solution m=0 lies at a local minim…