given that the roots of the equation 4x^2 + 6x + 9 =0 are λ and δ where λ = (1 + α^2 +β^2 ) and δ = α^3 + β^3 find an equation whose roots are (1/(αλ)) and (1/(βδ))


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Question Number 67686 by Rio Michael last updated on 30/Aug/19

$g i v e n t h a t t h e r o o t s o f t h e e q u a t i o n 4 x^{2} + 6 x + 9 = 0 a r e λ a n d δ w h e r e$ $λ = (1 + α^{2} + β^{2}) a n d δ = α^{3} + β^{3}$ $f i n d a n e q u a t i o n w h o s e r o o t s a r e$ $\frac{1}{α λ} a n d \frac{1}{β δ}$
Commented by MJS last updated on 30/Aug/19

$please check the question$ $I can solve it only approximately . . .$ ${what}^{'} s the source of it ?$
Commented by Rio Michael last updated on 14/Sep/19

$w e l l, f r o m o n e o f o u r {C o u n t r y}^{'} s G e n e r a l e x a m q u e s t i o n$ $i^{'} l l t r y i t a g a i n b r o$
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