Category: Algebra

Question Number 149621 by mathdanisur last updated on 06/Aug/21 $$\mathrm{if}{2}^{\mathit{x}}=3^{\mathit{y}}=7^{\mathit{z}}=\sqrt[3]{42}$$$$\mathrm{find}\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=?$$ Answered by iloveisrael last updated on 06/Aug/21 $$\:\mathrm{If}\:\mathrm{2}^{\mathrm{x}}…

Question Number 149585 by mathdanisur last updated on 06/Aug/21 $$ifx;y;z>0and{x}^2+y^2+z^2=3then:$$$$\mathrm{\Sigma }\frac{x^2+y^2}{(2x^2+y^2)(y^2+2x^2)}⩾\frac{2}{3}$$ Answered by…

Question Number 84047 by jagoll last updated on 09/Mar/20 $$\mathrm{how}\mathrm{many}$$$$\mathrm{natural}\mathrm{solution}\mathrm{are}\mathrm{there}\mathrm{for}$$$$x^2-y!=2019.$$ Answered by naka3546 last updated on 09/Mar/20 $$\mathrm{1},\:{sir}\:\:{namely}\:\:\left({x},\:{y}\right)\:=\:\left(\mathrm{45},\:\mathrm{3}\right)…

Question Number 149568 by mathdanisur last updated on 06/Aug/21 $$solvetheequation:$$$$20z\left[z\right]-21\left\{z\right\}=2021$$$$where\{\ast \}isGIFand\left\{z\right\}=z-\left[z\right]$$ Answered by Olaf_Thorendsen last updated on 06/Aug/21 $$\mathrm{20}{z}\left[{z}\right]−\mathrm{21}\left\{{z}\right\}\:=\:\mathrm{2021}\:\:\:\:\left(\mathrm{1}\right) \…

Question Number 84014 by redmiiuser last updated on 08/Mar/20 $$findtheno.ofpositivve$$$$integralsolutionsof$$$$x+y+2z=89$$$$x>10$$$$y>20$$$$z>2$$ Commented by redmiiuser…