Category: Algebra

Question Number 159281 by HongKing last updated on 14/Nov/21 Commented by MJS_new last updated on 14/Nov/21 $${x}=−\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\mathrm{how}? \\ $$$$\mathrm{obviously}\:{x}<\mathrm{0}\:\mathrm{because}\:\mathrm{otherwise}\:\mathrm{lhs}\:>\mathrm{0} \\ $$$$\mathrm{but}\:\mathrm{with}\:{x}=−\mathrm{1}\:\mathrm{lhs}\:<\mathrm{0}\:\Rightarrow\:−\mathrm{1}<{x}<\mathrm{0} \\ $$$$\mathrm{then}\:\mathrm{I}\:\mathrm{tried}\:{x}=−\frac{\mathrm{1}}{\mathrm{2}}\:\Rightarrow\:\mathrm{lhs}\:<\mathrm{0}\:\Rightarrow\:−\frac{\mathrm{1}}{\mathrm{2}}<{x}<\mathrm{0}…

Question Number 159280 by HongKing last updated on 14/Nov/21 $$\boldsymbol{\mathrm{S}}\mathrm{olve}\:\mathrm{in}\:\mathbb{R}\::\:\:\sqrt{\mathrm{x}}\:=\:\frac{\mathrm{x}^{\mathrm{2}} \:-\:\mathrm{244x}\:+\:\mathrm{736}}{\mathrm{1008}} \\ $$$$ \\ $$ Answered by MJS_new last updated on 14/Nov/21 $$\mathrm{just}\:\mathrm{square}\:\mathrm{and}\:\mathrm{solve}\:\left(\mathrm{and}\:\mathrm{test}\:\mathrm{the}\:\mathrm{solutions}\right) \\ $$$$\Rightarrow…

Question Number 159268 by HongKing last updated on 14/Nov/21 $$\mathrm{Find}: \\ $$$$\Omega\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:{Li}_{\mathrm{3}} \left(\mathrm{1}\:-\:{xy}\right){dxdy} \\ $$$$ \\ $$ Answered by mindispower last…

Question Number 28190 by ajfour last updated on 21/Jan/18 Commented by ajfour last updated on 21/Jan/18 $${Q}.\:\mathrm{28188}\:\:\:\left({solution}\right) \\ $$$${find}\:{least}\:{value}\:{of}\:\left[\mid{z}_{\mathrm{1}} +{z}_{\mathrm{2}} \mid\right]+\mathrm{1} \\ $$$${if}\:\:{z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} ,\:{z}_{\mathrm{3}}…

Question Number 28188 by math solver last updated on 21/Jan/18 Terms of Service Privacy Policy Contact: info@tinkutara.com