Category: Arithmetic

Question Number 50806 by Tawa1 last updated on 20/Dec/18 $$\mathrm{Determine}\mathrm{the}\mathrm{fourth}\mathrm{roots}\mathrm{of}-16,\mathrm{giving}\mathrm{the}\mathrm{results}\mathrm{in}\mathrm{polar}$$$$\mathrm{form}\mathrm{and}\mathrm{in}\mathrm{exponential}\mathrm{form}$$$$\mathbf{Answers}:\sqrt{2}(1+\mathbf{j}),\sqrt{2}(-1+\mathbf{j}),\sqrt{2}(-1-\mathbf{j}),\sqrt{2}(1-\mathbf{j})$$ Answered by mr W last updated on 20/Dec/18 $${x}={r}\left(\mathrm{cos}\:\theta+{j}\:\mathrm{sin}\:\theta\right)…

Question Number 181722 by Agnibhoo98 last updated on 29/Nov/22 $$\mathrm{Prove}\mathrm{that},$$$${(\frac{1}{a-b}+\frac{1}{b-c}+\frac{1}{c-a})}^2=$$$$\frac{1}{{(a-b)}^2}+\frac{1}{{(b-c)}^2}+\frac{1}{{(c-a)}^2}$$ Answered by Rasheed.Sindhi last updated…

Question Number 50445 by ANTARES VY last updated on 16/Dec/18 $$\mathbf{The}\mathbf{roots}\mathbf{of}\mathbf{the}\mathbf{fallowing}$$$$\mathbf{functions}\mathbf{are}\mathbf{the}\mathbf{Sequences}\mathbf{of}$$$$\mathbf{arithmetic}\mathbf{progressiyon}$$$$\mathbf{f}\left(\mathbf{x}\right)={\mathbf{x}}^5-20{\mathbf{x}}^4+{\mathbf{ax}}^3+{\mathbf{bx}}^2+\mathbf{cx}+24$$$$\mathbf{f}\left(8\right)=?$$…

Question Number 115856 by bemath last updated on 29/Sep/20 $$Whichisgreater$$$$P=\left(1983\right)(1+2+3+\dots +1984),or$$$$Q=\left(1984\right)(1+2+3+\dots +1983)$$ Answered by bobhans last updated on 29/Sep/20 $${let}\:{z}\:=\:\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}+…+\mathrm{1983} \…

Question Number 181275 by Linton last updated on 23/Nov/22 $$whatisthesumofall$$$$evenfactorsof1000?$$ Commented by Rasheed.Sindhi last updated on 24/Nov/22 ���� Commented by Linton…