Question Number 7912 by anshumansingh585@gmail.com last updated on 24/Sep/16 $${a}^{\mathrm{3}} +{b}^{\mathrm{3}} =? \\ $$ Commented by prakash jain last updated on 24/Sep/16 $$\left({a}+{b}\right)\left({a}^{\mathrm{2}} −{ab}+{b}^{\mathrm{2}} \right)…
Question Number 138980 by 7770 last updated on 20/Apr/21 $$\sqrt{\frac{\mathrm{7}{x}+\mathrm{2}}{{x}+\mathrm{2}}}−\frac{\mathrm{12}}{\mathrm{7}\left(\mathrm{7}{x}+\mathrm{2}\right)}=\frac{\mathrm{53}}{\mathrm{28}} \\ $$$${find}\:{x} \\ $$ Answered by MJS_new last updated on 21/Apr/21 $${t}=\sqrt{\frac{{x}+\mathrm{2}}{\mathrm{7}{x}+\mathrm{2}}}>\mathrm{0}\:\Leftrightarrow\:{x}=−\frac{\mathrm{2}\left({t}^{\mathrm{2}} −\mathrm{1}\right)}{\mathrm{7}{t}^{\mathrm{2}} −\mathrm{1}} \\…
Question Number 138983 by physicstutes last updated on 20/Apr/21 $$\mathrm{Show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{complex}\:\mathrm{numbers}\:\mathbb{C}\:\mathrm{under}\:\mathrm{the}\:\mathrm{usual} \\ $$$$\mathrm{addition}\:\mathrm{and}\:\mathrm{multiplication}\:\mathrm{form}\:\mathrm{a}\:\mathrm{field}. \\ $$$$\left(\mathbb{C},+,×\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 138976 by I want to learn more last updated on 20/Apr/21 Answered by mr W last updated on 20/Apr/21 $${n}+\mathrm{5}{s}=\begin{pmatrix}{−\mathrm{12}+\mathrm{5}}\\{\mathrm{5}−\mathrm{5}}\end{pmatrix}=\begin{pmatrix}{−\mathrm{7}}\\{\mathrm{0}}\end{pmatrix} \\ $$$${q}=\begin{pmatrix}{−\mathrm{35}}\\{\mathrm{0}}\end{pmatrix} \\…
Question Number 138979 by byaw last updated on 20/Apr/21 Answered by greg_ed last updated on 20/Apr/21 $$\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{granddaughter}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{{x}}\:\boldsymbol{\mathrm{years}}\:\boldsymbol{\mathrm{old}}.\: \\ $$$$\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{we}}\:\boldsymbol{\mathrm{get}}\:: \\ $$$$\mathrm{10}{x}\:=\:{x}\:+\:\mathrm{54}\:\Rightarrow \\ $$$$\mathrm{9}{x}\:=\:\mathrm{54}\:\Rightarrow \\ $$$${x}\:=\:\mathrm{6}…
Question Number 138978 by byaw last updated on 20/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 73441 by Learner-123 last updated on 12/Nov/19 Answered by mr W last updated on 12/Nov/19 $$\frac{\mathrm{1}+\mathrm{2}}{\mathrm{1}}=\left(\frac{\mathrm{7}+{d}}{\mathrm{7}}\right)^{\mathrm{2}} \\ $$$$\Rightarrow{d}=\mathrm{7}\left(\sqrt{\mathrm{3}}−\mathrm{1}\right)=\mathrm{5}.\mathrm{12}\:{m} \\ $$$$ \\ $$$${v}_{\mathrm{0}} {t}=\mathrm{7}…
Question Number 138973 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{\mathrm{0}} ^{\infty\:} \:\frac{\mathrm{dx}}{\mathrm{x}^{\mathrm{4}} −\mathrm{x}^{\mathrm{2}} +\mathrm{2}} \\ $$ Answered by mathmax by abdo last updated…
Question Number 7903 by tawakalitu last updated on 24/Sep/16 Commented by sou1618 last updated on 24/Sep/16 $${S}\:=\:\frac{\:\:\underset{{k}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\sqrt{\mathrm{10}+\sqrt{{k}}}\:}{\:\:\underset{{k}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\sqrt{\mathrm{10}−\sqrt{{k}}}\:} \\ $$$${S}\fallingdotseq{S}\:'=\frac{\:\:\int_{\mathrm{0}} ^{\mathrm{100}} \sqrt{\mathrm{10}+\sqrt{{x}}\:}\:{dx}\:}{\:\:\int_{\mathrm{0}}…
Question Number 138972 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\:\:\frac{\mathrm{cos}^{\mathrm{2}} \left(\mathrm{x}\right)}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{x}+\mathrm{2}\right)^{\mathrm{2}} }\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact:…