Question Number 46088 by Cheyboy last updated on 21/Oct/18 Answered by $@ty@m last updated on 21/Oct/18 $${Let}\:{Solution}\:{set}\:=\begin{bmatrix}{{a}}&{{b}}\\{{c}}&{{d}}\end{bmatrix} \\ $$$${a}+{b}=\mathrm{8}\:…\left(\mathrm{1}\right) \\ $$$${b}+{d}=\mathrm{8}\:…\left(\mathrm{2}\right) \\ $$$$\Rightarrow{a}={d}\:…\left(\mathrm{3}\right) \\ $$$${c}−{d}=\mathrm{6}\:…\left(\mathrm{4}\right)…
Question Number 111623 by weltr last updated on 04/Sep/20 $$\left({x}−\mathrm{2}\right)\left({x}+\mathrm{3}\right)\left({x}−\mathrm{1}\right)^{\mathrm{2}} \:\geqslant\:\mathrm{0} \\ $$ Commented by ZiYangLee last updated on 04/Sep/20 $${x}\leqslant−\mathrm{3}\:\cup\:{x}\geqslant\mathrm{2}? \\ $$ Commented by…
Question Number 177144 by Shrinava last updated on 01/Oct/22 $$\mathrm{Calculas}: \\ $$$$\frac{\mathrm{1}^{\mathrm{2}} \:+\:\mathrm{2}^{\mathrm{2}} \:+\:\mathrm{3}^{\mathrm{2}} \:+\:…\:+\:\mathrm{16}^{\mathrm{2}} \:−\:\mathrm{16}}{\mathrm{1}\centerdot\mathrm{3}\:+\:\mathrm{2}\centerdot\mathrm{4}\:+\:\mathrm{3}\centerdot\mathrm{5}\:+\:…\:+\:\mathrm{15}\centerdot\mathrm{17}} \\ $$ Answered by BaliramKumar last updated on 01/Oct/22…
Question Number 111601 by A8;15: last updated on 04/Sep/20 Answered by bemath last updated on 04/Sep/20 $$\frac{\mathrm{7}.\mathrm{7}^{\mathrm{2004}} +\mathrm{7}^{\mathrm{2004}} +\mathrm{1}}{\mathrm{7}^{\mathrm{2004}} +\mathrm{1}}\:=\:\frac{\mathrm{8}.\mathrm{7}^{\mathrm{2004}} +\mathrm{1}}{\mathrm{7}^{\mathrm{2004}} +\mathrm{1}} \\ $$ Terms…
Question Number 111586 by Khanacademy last updated on 04/Sep/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{{DTM}}−\mathrm{2020}\:\:\boldsymbol{{savollaridan}}\:\:\boldsymbol{{biri}}. \\ $$$$\:\int\boldsymbol{{x}}^{\boldsymbol{{x}}} =\:? \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{{t}}.\boldsymbol{{me}}/\boldsymbol{{matematik\_olimpiadachilar}} \\ $$ Commented by Her_Majesty last updated on 04/Sep/20 $${see}\:{comment}\:{to}\:{question}\:\mathrm{111558}…
Question Number 177130 by mr W last updated on 01/Oct/22 $${if}\:{x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} =\mathrm{5},\:{find}\:{the}\:{minimum} \\ $$$${and}\:{maximum}\:{of}\:{x}^{\mathrm{2}} −{xy}+{y}^{\mathrm{2}} . \\ $$ Commented by Frix last updated on…
Question Number 111583 by Rio Michael last updated on 04/Sep/20 $$\mathrm{without}\:\mathrm{using}\:\mathrm{a}\:\mathrm{substitution}\:\mathrm{for}\:\mathrm{3}^{{x}} \:\mathrm{solve}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\:\mathrm{9}^{{x}} −\mathrm{3}^{{x}\:+\:\mathrm{2}} −\mathrm{36}\:=\:\mathrm{0} \\ $$ Answered by bemath last updated on 04/Sep/20…
Question Number 177112 by mr W last updated on 01/Oct/22 $${solve}\:{for}\:\mathbb{R} \\ $$$${a}+{bcd}=\mathrm{100} \\ $$$${b}+{cda}=\mathrm{100} \\ $$$${c}+{dab}=\mathrm{100} \\ $$$${d}+{abc}=\mathrm{100} \\ $$ Answered by aleks041103 last…
Question Number 111560 by dw last updated on 04/Sep/20 Commented by dw last updated on 04/Sep/20 $${Step}\:{by}\:{step}\:{solution} \\ $$ Answered by Her_Majesty last updated on…
Question Number 177083 by mr W last updated on 30/Sep/22 $${x},\:{y}\:{are}\:{different}\:{positive}\:{integers} \\ $$$${with}\:\frac{\mathrm{1}}{{x}}+\frac{\mathrm{1}}{{y}}=\frac{\mathrm{1}}{\mathrm{5}}.\:{find}\:{x}+{y}=? \\ $$ Answered by mr W last updated on 30/Sep/22 $${xy}=\mathrm{5}\left({x}+{y}\right) \\…