Category: Algebra

Question Number 146201 by mathdanisur last updated on 11/Jul/21 $$Solvefornaturalnumberstheequation:$$$$3x^2+15y^2=5z^2+t^2$$ Answered by mindispower last updated on 13/Jul/21 $$\mathrm{3}{x}^{\mathrm{2}}…

Question Number 80643 by mr W last updated on 05/Feb/20 $$Provethatthereisnosolutionfor$$$$7^n\equiv 1mod\left(35\right)withn\in \mathbb{N}.$$ Answered by MJS last updated on 05/Feb/20 $$\forall{k}\in\mathbb{N}:\:\mathrm{7}^{\mathrm{20}{k}} \equiv\mathrm{1mod}\:\mathrm{55}…

Question Number 146154 by mathdanisur last updated on 11/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 15051 by tawa tawa last updated on 07/Jun/17 $$\mathrm{Solve}\mathrm{simultaneously}$$$$$$$$\mathrm{x}+\mathrm{y}+\mathrm{z}=6\dots \dots \dots \dots \mathrm{equation}\left(\mathrm{i}\right)$$$${\mathrm{x}}^3+{\mathrm{y}}^3+{\mathrm{z}}^3=92\dots \dots \dots .\mathrm{equation}\left(\mathrm{ii}\right)$$$$\mathrm{x}-\mathrm{y}=\mathrm{z}\dots \dots \dots ..\mathrm{equation}\left(\mathrm{iii}\right)$$ Answered…

Question Number 146096 by mathdanisur last updated on 10/Jul/21 Answered by mindispower last updated on 10/Jul/21 $$tg\left(2a\right)=tg(a+b+a-b)=\frac{tg(a+b)+tg(a-b)}{1-tg(a+b)tg(a-b)}=\frac{\frac{3}{2}}{\frac{1}{2}}$$$$=3\Rightarrow 2tg\left(2a\right)=6$$ Commented by mathdanisur last…