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Category: Algebra

Question-18053

Question Number 18053 by mondodotto@gmail.com last updated on 14/Jul/17 Commented by prakash jain last updated on 14/Jul/17 $$\mathrm{can}\:\mathrm{u}\:\mathrm{please}\:\mathrm{type}\:\mathrm{question}?\:\mathrm{it}\:\mathrm{is}\:\mathrm{very} \\ $$$$\mathrm{difficult}\:\mathrm{to}\:\mathrm{read}\:\mathrm{image}. \\ $$ Commented by mondodotto@gmail.com…

Find-the-locus-of-a-point-which-moves-such-that-its-distance-from-the-line-y-4-is-a-constant-k-

Question Number 83570 by TawaTawa1 last updated on 03/Mar/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:\mathrm{a}\:\mathrm{point}\:\mathrm{which}\:\mathrm{moves}\:\mathrm{such}\:\mathrm{that}\:\mathrm{its} \\ $$$$\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{line}\:\:\:\mathrm{y}\:\:=\:\:\mathrm{4}\:\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{constant}\:\:\:\mathrm{k}. \\ $$ Commented by TawaTawa1 last updated on 03/Mar/20 $$\mathrm{Please}\:\mathrm{help}. \\ $$ Commented…

Question-83554

Question Number 83554 by Power last updated on 03/Mar/20 Answered by MJS last updated on 03/Mar/20 $${x}^{\mathrm{4}} +\mathrm{4}{x}^{\mathrm{3}} −\mathrm{8}{x}+\frac{\mathrm{17}}{\mathrm{5}}=\mathrm{0} \\ $$$$\mathrm{let}\:{x}={t}−\mathrm{1} \\ $$$${t}^{\mathrm{4}} −\mathrm{6}{t}^{\mathrm{2}} +\frac{\mathrm{42}}{\mathrm{5}}=\mathrm{0}…

Question-83543

Question Number 83543 by Power last updated on 03/Mar/20 Commented by john santu last updated on 03/Mar/20 $$\mathrm{let}\:\mathrm{1}+\mathrm{2x}+\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}^{\mathrm{3}} +\mathrm{5x}^{\mathrm{4}} +…\:=\:\mathrm{f}\left(\mathrm{x}\right) \\ $$$$\int\:\mathrm{f}\left(\mathrm{x}\right)\mathrm{dx}=\:\int\left(\mathrm{1}+\mathrm{2x}+\mathrm{3x}^{\mathrm{2}} +\mathrm{4x}^{\mathrm{3}} +…\right)\mathrm{dx}…

Question-83542

Question Number 83542 by Power last updated on 03/Mar/20 Answered by john santu last updated on 03/Mar/20 $$\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}^{\mathrm{2x}−\mathrm{1}} } \\ $$$$\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{2001}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}^{\frac{\mathrm{2}}{\mathrm{2001}}−\mathrm{1}} } \\ $$$$\mathrm{f}\left(\frac{\mathrm{2}}{\mathrm{2001}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}^{\frac{\mathrm{2}}{\mathrm{2001}}−\mathrm{1}} }…

Solve-on-Z-18-6-18-x-7-18-y-1-18-2-18-x-3-18-y-11-18-

Question Number 17997 by 433 last updated on 13/Jul/17 $${Solve}\:{on}\:\mathbb{Z}_{\mathrm{18}} \\ $$$$\begin{cases}{\left[\mathrm{6}\right]_{\mathrm{18}} {x}+\left[\mathrm{7}\right]_{\mathrm{18}} {y}=\left[\mathrm{1}\right]_{\mathrm{18}} }\\{\left[\mathrm{2}\right]_{\mathrm{18}} {x}+\left[\mathrm{3}\right]_{\mathrm{18}} {y}=\left[\mathrm{11}\right]_{\mathrm{18}} }\end{cases} \\ $$ Terms of Service Privacy Policy…

if-4z-z-11-z-5-find-2z-z-

Question Number 149060 by mathdanisur last updated on 02/Aug/21 $${if}\:\:\:\mathrm{4}{z}\sqrt{{z}}\:−\:\mathrm{11}\sqrt{{z}}\:=\:\mathrm{5} \\ $$$${find}\:\:\:\mathrm{2}{z}\:−\:\sqrt{{z}}\:=\:? \\ $$ Answered by bramlexs22 last updated on 02/Aug/21 $$\Rightarrow\sqrt{\mathrm{z}}\:=\:\mathrm{u}\: \\ $$$$\Rightarrow\mathrm{4z}\sqrt{\mathrm{z}}−\sqrt{\mathrm{z}}\:=\:\mathrm{5}+\mathrm{10}\sqrt{\mathrm{z}} \\…