show-that-4-3h-2-g-and-deduce-that-4-3h-2-g-and-find-2-3-4-in-term-of-g-and-h-

Tinku Tara June 3, 2023 Algebra 0 Comments

Question Number 10353 by j.masanja06@gmail.com last updated on 05/Feb/17

show that α^4 =−3hα^2 −gα and deduce that Σα^4 =−3hΣα^2 −gΣα and find Σα^2 ,Σα^3 ,Σα^4 in term of g and h.

$$\mathrm{show}\:\mathrm{that}\:\alpha^{\mathrm{4}} =−\mathrm{3h}\alpha^{\mathrm{2}} −\mathrm{g}\alpha\:\mathrm{and}\:\mathrm{deduce} \\ $$$$\mathrm{that}\:\Sigma\alpha^{\mathrm{4}} =−\mathrm{3h}\Sigma\alpha^{\mathrm{2}} −\mathrm{g}\Sigma\alpha\:\mathrm{and}\:\mathrm{find}\: \\ $$$$\Sigma\alpha^{\mathrm{2}} ,\Sigma\alpha^{\mathrm{3}} ,\Sigma\alpha^{\mathrm{4}} \:\:\mathrm{in}\:\mathrm{term}\:\mathrm{of}\:\mathrm{g}\:\mathrm{and}\:\mathrm{h}. \\ $$

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