Question Number 55954 by Easyman32 last updated on 06/Mar/19 Answered by MJS last updated on 06/Mar/19 $$\mathrm{draw}\:\mathrm{them}:\:\mathrm{2}\:\mathrm{half}\:\mathrm{parabolas}\:\Rightarrow \\ $$$$\Rightarrow\:\mathrm{1}\:\mathrm{intersection} \\ $$$${x}=\mathrm{11}.\mathrm{932};\:{y}=\mathrm{16}.\mathrm{546} \\ $$ Commented by…
Question Number 55942 by Tawa1 last updated on 06/Mar/19 $$\mathrm{Prove}\:\mathrm{that}:\:\:\:\:\:\frac{\mathrm{1}}{\mid\boldsymbol{\mathrm{A}}\mid}\:\:=\:\:\boldsymbol{\mathrm{A}}^{\mathrm{1}} \\ $$ Commented by 121194 last updated on 06/Mar/19 $$\mathrm{what}\:\mathrm{A}? \\ $$ Terms of Service…
Question Number 187008 by mustafazaheen last updated on 12/Feb/23 $$\frac{{a}}{\mathrm{3}}=\frac{{b}}{\mathrm{4}}=\frac{{c}}{\mathrm{5}}\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}{a}+{c}=\mathrm{42}\:\:\:\:\:\:\:\:{b}=? \\ $$$${how}\:{is}\:{solution} \\ $$ Answered by HeferH last updated on 12/Feb/23 $$\frac{{a}}{\mathrm{3}}\:=\:\frac{{c}}{\mathrm{5}} \\ $$$$\:\frac{{a}}{{c}}\:=\:\frac{\mathrm{3}}{\mathrm{5}}\:;\:{a}\:=\:\mathrm{3}{k}\:,\:{c}\:=\:\mathrm{5}{k}\: \\…
Question Number 121446 by mr W last updated on 08/Nov/20 Answered by liberty last updated on 08/Nov/20 $$\mathrm{u}\:=\:\mathrm{x}+\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{2}} } \\ $$$$\mathrm{u}\left(\mathrm{y}+\sqrt{\mathrm{1}+\mathrm{y}^{\mathrm{2}} }\:\right)\:=\:\mathrm{1}\:\Rightarrow\sqrt{\mathrm{1}+\mathrm{y}^{\mathrm{2}} }\:=\:\frac{\mathrm{1}}{\mathrm{u}}−\mathrm{y} \\ $$$$\Rightarrow\mathrm{1}+\mathrm{y}^{\mathrm{2}}…
Question Number 121449 by liberty last updated on 08/Nov/20 $$\:\:\begin{cases}{\mathrm{x}+\mathrm{y}=\mathrm{3}}\\{\mathrm{x}^{\mathrm{5}} +\mathrm{y}^{\mathrm{5}} =\mathrm{33}}\end{cases} \\ $$ Commented by Dwaipayan Shikari last updated on 08/Nov/20 $${x}=\mathrm{1}{or}\:\mathrm{2} \\ $$$${y}=\mathrm{2}\:{or}\:\mathrm{1}\:\:\:\:\:\:\left({By}\:{inspection}\right)…
Question Number 121444 by liberty last updated on 08/Nov/20 $$\:\mathrm{6}^{\mathrm{x}^{\mathrm{2}} } +\mathrm{81}.\mathrm{4}^{\mathrm{x}} \:\leqslant\:\mathrm{4}^{\mathrm{x}} .\mathrm{3}^{\mathrm{x}^{\mathrm{2}} } +\:\mathrm{81}.\mathrm{2}^{\mathrm{x}^{\mathrm{2}} } \\ $$ Commented by MJS_new last updated on…
Question Number 121442 by bramlexs22 last updated on 08/Nov/20 Answered by liberty last updated on 08/Nov/20 Answered by Don08q last updated on 09/Nov/20 $$\:{y}^{\mathrm{2}} −\mathrm{3}{xy}+{x}^{\mathrm{2}}…
Question Number 55893 by Tawa1 last updated on 05/Mar/19 $$\mathrm{Three}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{in}\:\mathrm{G}.\mathrm{P}\:\mathrm{such}\:\mathrm{that}\:\mathrm{their}\:\mathrm{sum}\:\mathrm{is}\:\:\boldsymbol{\mathrm{p}}\:\:\mathrm{and}\:\mathrm{the} \\ $$$$\mathrm{sum}\:\mathrm{of}\:\mathrm{their}\:\mathrm{square}\:\mathrm{is}\:\:\boldsymbol{\mathrm{q}}.\:\:\mathrm{Find}\:\mathrm{the}\:\mathrm{middle}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{G}.\mathrm{P} \\ $$ Answered by kaivan.ahmadi last updated on 05/Mar/19 $${let}\:{a},{b},{c}\:{are}\:{numbers},\:{so} \\ $$$${b}^{\mathrm{2}} ={ac}.…
Question Number 121429 by zakirullah last updated on 08/Nov/20 Commented by zakirullah last updated on 08/Nov/20 $$\boldsymbol{{please}}\:\boldsymbol{{need}}\:\boldsymbol{{help}}?\upuparrows \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 55889 by behi83417@gmail.com last updated on 05/Mar/19 $$\:\:\:\:\:\boldsymbol{\mathrm{a}}=\boldsymbol{\mathrm{b}}^{\mathrm{2}} +\boldsymbol{\mathrm{bc}}+\boldsymbol{\mathrm{c}}^{\mathrm{2}} \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{b}}=\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{ac}}+\boldsymbol{\mathrm{c}}^{\mathrm{2}} \\ $$$$\:\:\:\:\:\boldsymbol{\mathrm{c}}=\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{ab}}+\boldsymbol{\mathrm{b}}^{\mathrm{2}} \\ $$$$\:\:\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{for}}\::\:\:\boldsymbol{\mathrm{a}},\:\:\boldsymbol{\mathrm{b}},\:\:\boldsymbol{\mathrm{c}}. \\ $$ Answered by MJS last…