Let a and b be the solutions to 5x^2 - 11x + 4 = 0. Find a^3 + b^3.
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5x2 - 11x + 4 = 0 => Let the roots be a, b => a + b = 11/5, ab = 4/5
a3 + b3 = (a + b)3 - 3(ab)(a + b) = (11/5)3 - 3(4/5)(11/5) = 1331/125 - 132/25 = (1331 - 660)/125 = 671/125.
+363 
