Question Number 107484 by bemath last updated on 11/Aug/20 $$\:\:\:\:\:\nparallel\mathcal{B}{e}\mathcal{M}{ath}\nparallel \\ $$$$\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+…}}}}\:=\:\sqrt{\mathrm{4}\sqrt{\mathrm{4}\sqrt{\mathrm{4}\sqrt{\mathrm{4}…}}}} \\ $$$${x}=?\: \\ $$ Answered by john santu last updated on 11/Aug/20 $$\:\:\:\:\:\:\:\:\:\:\:\divideontimes\mathcal{JS}\divideontimes…
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Question Number 173008 by Mikenice last updated on 04/Jul/22 Answered by pnuvu last updated on 04/Jul/22 $$\frac{\mathrm{4}\left({x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right)}{{x}−{y}}=\frac{\mathrm{4}\left({x}+{y}\right)\left({x}−{y}\right)}{{x}−{y}}=\mathrm{4}\left({x}+{y}\right) \\ $$ Answered by Skabetix last…
Question Number 173004 by Mikenice last updated on 04/Jul/22 Commented by MJS_new last updated on 04/Jul/22 $$\mathrm{the}\:\mathrm{sequence}\:\mathrm{is}\:\mathrm{not}\:\mathrm{clear} \\ $$$$\mathrm{10}+\mathrm{6}=\mathrm{16}+\mathrm{6}=\mathrm{22}+\mathrm{6}… \\ $$$$\mathrm{but}\:\mathrm{9}+\mathrm{16}=\mathrm{25}+\mathrm{16}=\mathrm{31}?\:\mathrm{or}\:\mathrm{3}^{\mathrm{2}} =\mathrm{9},\:\mathrm{5}^{\mathrm{2}} =\mathrm{25},\:\mathrm{7}^{\mathrm{2}} =\mathrm{49}? \\…
Question Number 173000 by Mikenice last updated on 04/Jul/22 Commented by MJS_new last updated on 04/Jul/22 $$\mathrm{2}^{{x}+{y}} =\mathrm{6}\:\Rightarrow\:{x}+{y}=\frac{\mathrm{ln}\:\mathrm{6}}{\mathrm{ln}\:\mathrm{2}}={a} \\ $$$$\mathrm{3}^{{x}+{y}} =\mathrm{4}\:\Rightarrow\:{x}+{y}=\frac{\mathrm{ln}\:\mathrm{4}}{\mathrm{ln}\:\mathrm{3}}={b} \\ $$$${a}\neq{b}\:\Rightarrow\:\mathrm{no}\:\mathrm{solution} \\ $$…
Question Number 173001 by Mikenice last updated on 04/Jul/22 Answered by pnuvu last updated on 04/Jul/22 $${abc}=\mathrm{6} \\ $$$$\left({a},{b},{c}\right)=\left(\mathrm{1},\mathrm{2},\mathrm{3}\right) \\ $$ Answered by MJS_new last…
Question Number 41921 by Tawa1 last updated on 15/Aug/18 $$\mathrm{Find}\:\mathrm{x}\::\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{625}^{\mathrm{x}\:−\:\mathrm{5}} \:=\:\mathrm{200}\left(\sqrt{\mathrm{x}}\right)^{\mathrm{3}} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 15/Aug/18 $$\left(\mathrm{5}^{\mathrm{4}} \right)^{{x}−\mathrm{5}} =\mathrm{5}^{\mathrm{2}} ×\mathrm{2}^{\mathrm{3}} ×{x}^{\frac{\mathrm{3}}{\mathrm{2}}}…
Question Number 107454 by Rio Michael last updated on 10/Aug/20 $$\mathrm{Given}\:\mathrm{the}\:\mathrm{function}\:{f}\left({x}\right)\:=\:\frac{{x}\:+\:\mathrm{3}}{{x}−\mathrm{2}}\:\mathrm{and}\:\mathrm{g}\left({x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}}{xe}^{{x}} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{symmetry}\:\mathrm{of}\:{f}. \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Define}\:\mathrm{the}\:\mathrm{monotony}\:\mathrm{of}\:\mathrm{g}\:\mathrm{and}\:\mathrm{if}\:\mathrm{possible}\:\mathrm{draw}\:\mathrm{a}\:\mathrm{variation} \\ $$$$\mathrm{table}\:\mathrm{for}\:\mathrm{g}\left({x}\right). \\ $$$$\left(\mathrm{3}\right)\:\mathrm{Sketch}\:\mathrm{the}\:\mathrm{function}\:\mathrm{g}\left({x}\right) \\ $$$$\left(\mathrm{4}\right)\:\mathrm{determine}\:\mathrm{if}\:{f}\:\mathrm{and}\:\mathrm{g}\:\mathrm{intersect}. \\ $$ Answered by…
Question Number 172984 by dragan91 last updated on 04/Jul/22 Answered by Mathspace last updated on 04/Jul/22 $$\Upsilon_{\mathrm{1}} +\Upsilon_{\mathrm{2}} =\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left(\sqrt{{x}}+\sqrt{{x}+\mathrm{1}}\right)\left(\sqrt{{x}}−\sqrt{{x}+\mathrm{1}}\right){dx} \\ $$$$=\int_{\mathrm{0}} ^{\mathrm{1}} {ln}\left({x}−{x}−\mathrm{1}\right){dx}…
Question Number 41912 by pieroo last updated on 15/Aug/18 $$\mathrm{The}\:\mathrm{estimated}\:\mathrm{time}\:\mathrm{for}\:\mathrm{Abu}\:\mathrm{and}\:\mathrm{Ali}\:\mathrm{to}\:\mathrm{repair}\:\mathrm{a} \\ $$$$\mathrm{faulty}\:\mathrm{car}\:\mathrm{is}\:\mathrm{six}\:\mathrm{hours}.\:\mathrm{If}\:\mathrm{Abu}\:\mathrm{used}\:\mathrm{10}\:\mathrm{hours}\:\mathrm{to} \\ $$$$\mathrm{repair}\:\mathrm{the}\:\mathrm{car},\:\mathrm{how}\:\mathrm{many}\:\mathrm{hours}\:\mathrm{will}\:\mathrm{Ali}\:\mathrm{use}\:\mathrm{to}\:\mathrm{repair} \\ $$$$\mathrm{the}\:\mathrm{car}? \\ $$ Answered by MJS last updated on 15/Aug/18…