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Category: Algebra

let-and-the-roots-of-x-3-2x-1-0-find-the-value-of-A-2-2-2-and-B-3-3-3-

Question Number 64066 by mathmax by abdo last updated on 12/Jul/19 $${let}\:\alpha\:,\beta\:{and}\:\lambda\:{the}\:{roots}\:{of}\:{x}^{\mathrm{3}} +\mathrm{2}{x}−\mathrm{1}\:=\mathrm{0}\:{find}\:{the}\:{value}\:{of} \\ $$$${A}\:=\alpha^{\mathrm{2}} \:+\beta^{\mathrm{2}} \:+\lambda^{\mathrm{2}} \:{and}\:\:{B}\:=\alpha^{\mathrm{3}} \:+\beta^{\mathrm{3}} \:+\lambda^{\mathrm{3}} \:. \\ $$ Answered by…

2x-3-2-25-x-3-2-2-

Question Number 64061 by mmkkmm000m last updated on 12/Jul/19 $$\left(\mathrm{2}{x}+\mathrm{3}\right)^{\mathrm{2}} +\mathrm{25}/\left({x}+\mathrm{3}\right)^{\mathrm{2}} =\sqrt{\mathrm{2}} \\ $$ Answered by MJS last updated on 12/Jul/19 $$\mathrm{no}\:\mathrm{real}\:\mathrm{solutions} \\ $$$$\mathrm{no}\:\mathrm{useable}\:\mathrm{exact}\:\mathrm{solutions} \\…

y-sin-x-sin-x-sin-x-dy-dx-

Question Number 129595 by Adel last updated on 16/Jan/21 $$\mathrm{y}=\sqrt{\mathrm{sin}\:\mathrm{x}+\sqrt{\mathrm{sin}\:\mathrm{x}+\sqrt{\mathrm{sin}\:\mathrm{x}+………….\infty}}} \\ $$$$ \\ $$$$\frac{\mathrm{dy}}{\mathrm{dx}}=? \\ $$ Answered by ajfour last updated on 16/Jan/21 $${y}^{\mathrm{2}} −\mathrm{sin}\:{x}={y}…

1-simplify-W-n-z-1-z-1-z-2-1-z-2-n-z-from-C-2-simplify-P-n-1-e-i-1-e-2i-1-e-i2-n-and-sove-P-n-0-

Question Number 63893 by mathmax by abdo last updated on 10/Jul/19 $$\left.\mathrm{1}\right)\:{simplify}\:{W}_{{n}} \left({z}\right)=\left(\mathrm{1}+{z}\right)\left(\mathrm{1}+{z}^{\mathrm{2}} \right)….\left(\mathrm{1}+{z}^{\mathrm{2}^{{n}} } \right)\:\left({z}\:{from}\:{C}\right) \\ $$$$\left.\mathrm{2}\right)\:{simplify}\:{P}_{{n}} \left(\theta\right)\:=\left(\mathrm{1}+{e}^{{i}\theta} \right)\left(\mathrm{1}+{e}^{\mathrm{2}{i}\theta} \right)…..\left(\mathrm{1}+{e}^{{i}\mathrm{2}^{{n}} \theta} \right)\:{and}\:{sove} \\ $$$${P}_{{n}}…