if-the-eqution-x-3-3hx-q-0-has-the-roots-and-find-the-eqution-with-the-roots-of-i-1-1-1-ii-1-2-1-2-1-2-

Question Number 9874 by j.masanja06@gmail.com last updated on 11/Jan/17

if the eqution x^{3} + 3 hx + q = 0 has the

roots α, β and γ .

find the eqution with the roots of;

(i) \frac{1}{α β} + \frac{1}{β γ} + \frac{1}{α γ}

(ii) \frac{1}{α^{2}} + \frac{1}{β^{2}} + \frac{1}{γ^{2}}

Commented by sandy_suhendra last updated on 11/Jan/17

(i) \frac{1}{α β} + \frac{1}{β γ} + \frac{1}{α γ} or \frac{1}{α β}, \frac{1}{β γ} and \frac{1}{α γ} ?

(ii) \frac{1}{α^{2}} + \frac{1}{β^{2}} + \frac{1}{γ_{}^{2}} or \frac{1}{α^{2}}, \frac{1}{β^{2}} and \frac{1}{γ^{2}} ?

Commented by j.masanja06@gmail.com last updated on 12/Jan/17

oooh sorry sir

has a roots of;

(i) \frac{1}{α β}, \frac{1}{β γ} and \frac{1}{β γ}

(ii) \frac{1}{α^{2}}, \frac{1}{β^{2}} and \frac{1}{γ^{2}}