Let r, s, and t be solutions of the equation x^3 - 4x^2 - 7x + 12 = 0. Compute \frac{rs}{t^2} + \frac{rt}{s^2} + \frac{st}{r^2}
x3−4x2−7x+12=0The equation is solved with WolframAlpha.r=−2.0912s=1.1648t=4.9265
rst2+rts2+str2=−2.0912⋅1.16484.92652+−2.0912⋅4.92651.16482+1.1648⋅4.9265(−2.0912)2=−6.38147970131
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