a_3 x^3 −x^2 +a_1 x−7=0 is a cubic polynomial in x whose Roots are α , β , γ positive real numbers satisfying ((225α^2 )/(α^2 +7))=((144β^2 )/(β^2 +7))=((100γ^2 )/(γ^2 +7)) Find (a


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Question Number 194991 by York12 last updated on 21/Jul/23

$a_{3} x^{3} - x^{2} + a_{1} x - 7 = 0 i s a c u b i c p o l y n o m i a l i n x$ $w h o s e R o o t s a r e α, β, γ p o s i t i v e r e a l n u m b e r s$ $s a t i s f y i n g$ $\frac{225 α^{2}}{α^{2} + 7} = \frac{144 β^{2}}{β^{2} + 7} = \frac{100 γ^{2}}{γ^{2} + 7}$ $F i n d (a_{1})$
Commented by Frix last updated on 21/Jul/23

$α : β : γ = 21 : 35 : 189$ $α = \frac{7}{3} \land β = \frac{35}{9} \land γ = 21$ $a_{3} = \frac{9}{245} \land a_{1} = \frac{77}{15}$
Commented by York12 last updated on 21/Jul/23

$h o w d i d y o u g e t i t b r o$
Commented by York12 last updated on 21/Jul/23

$a n d w h a t i s y o u r a d v i c e t o g e t b e t t e r a t s o l v i n g$ $s u c h p r o b l e m s$
Commented by York12 last updated on 22/Jul/23

$s i r y o u d i d n o t r e p l y$
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