Question

If α, β are the roots of the equation, x2 – 2x + 3 = 0, find the equation whose roots are α3 – 3α2 + 5α – 2 and β3 – β2 + β + 5

Answer 1

α2 – 2α + 3 = 0 and β2 – 2β + 3 = 0

Now α3 – 3α2 + 5α – 2