Question

Solve the equation 15x³ – 23x² + 9x – 1 = 0. Where roots are in H.P.

Answer 1

[If a, b, c are in H.P. then 1/a, 1/b, 1/c are in the A.P. we have b = 2ac/(a + c)]

Let α, β, γ be the roots of the equation