Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 - 17x + 6. Find 1/a^3 + 1/b^3.
the answer is \(-\frac{252}{\left(\sqrt{11}-3\right)^3\left(-3-\sqrt{11}\right)^3}\)
+1218 
