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Category: Algebra

Question-169235

Question Number 169235 by Shrinava last updated on 26/Apr/22 Commented by mr W last updated on 26/Apr/22 $${i}\:{guess}\:\left\{{P}\right\}={KL}\cap{AD}\:{means} \\ $$$${P}\:{is}\:{intersection}\:{of}\:{KL}\:{and}\:{AD}. \\ $$$${but}\:{what}\:{do}\:{you}\:{say}\:{with}\:{m}\left(\measuredangle{DPC}\right)? \\ $$ Commented…

Question-103685

Question Number 103685 by bemath last updated on 16/Jul/20 Answered by bobhans last updated on 16/Jul/20 $${x}−\sqrt{\left(\mathrm{2}−{x}\right)\left(\mathrm{3}−{x}\right)}\:=\:\sqrt{\mathrm{4}−{x}}\left\{\sqrt{\mathrm{3}−{x}}+\sqrt{\mathrm{2}−{x}}\right\} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} −\mathrm{5}{x}+\mathrm{6}−\mathrm{2}{x}\sqrt{\left(\mathrm{2}−{x}\right)\left(\mathrm{3}−{x}\right)}\:= \\ $$$$\left(\mathrm{4}−{x}\right)\left(\mathrm{5}−\mathrm{2}{x}\right)+\mathrm{2}\sqrt{\left(\mathrm{3}−{x}\right)\left(\mathrm{2}−{x}\right)} \\ $$$$\mathrm{4}{x}−\mathrm{7}\:= \\…

lim-x-pi-picos2x-x-1-cosx-

Question Number 169182 by mathlove last updated on 25/Apr/22 $$\underset{{x}\rightarrow\pi} {\mathrm{lim}}\frac{\pi{cos}\mathrm{2}{x}−{x}}{\mathrm{1}+{cosx}}=? \\ $$ Commented by infinityaction last updated on 25/Apr/22 $${use}\:{l}\:{hospital}\:{rule} \\ $$$$\:\:\:\:{p}\:\:\:=\:\:\:\underset{{x}\rightarrow\pi} {\mathrm{lim}}\:\frac{−\mathrm{2}\pi\mathrm{sin}\:\mathrm{2}{x}\:−\:\mathrm{1}}{−\mathrm{sin}\:{x}} \\…

If-0-3-x-0-5-8-find-the-value-of-x-

Question Number 169130 by pete last updated on 24/Apr/22 $$\mathrm{If}\:\left(\mathrm{0}.\mathrm{3}\right)^{\mathrm{x}} =\left(\mathrm{0}.\mathrm{5}\right)^{\mathrm{8}} ,\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$ Answered by MikeH last updated on 24/Apr/22 $${x}\:=\:\frac{\mathrm{8}\:\mathrm{log}\:\mathrm{0}.\mathrm{5}}{\mathrm{log}\:\mathrm{0}.\mathrm{3}}\:=\mathrm{4}.\mathrm{6057} \\ $$ Commented…