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Category: Algebra

x-y-x-95-8-y-x-y-93-8-Find-xy-

Question Number 107313 by bemath last updated on 10/Aug/20 $$\begin{cases}{{x}+{y}\sqrt{{x}}\:=\:\frac{\mathrm{95}}{\mathrm{8}}}\\{{y}+{x}\sqrt{{y}}\:=\:\frac{\mathrm{93}}{\mathrm{8}}}\end{cases}\:.\:\mathcal{F}{ind}\:\sqrt{{xy}} \\ $$ Answered by Her_Majesty last updated on 10/Aug/20 $${answered} \\ $$$${qu}\:\mathrm{106259} \\ $$ Answered…

P-x-3-x-2-x-5-x-P-1-

Question Number 172842 by cortano1 last updated on 02/Jul/22 $$\:\:\:\:\:\:\:{P}\left({x}^{\mathrm{3}} −{x}^{\mathrm{2}} \right)\:=\:{x}^{\mathrm{5}\:} \:+\:{x}\: \\ $$$$\:\:\:\:\:\:{P}\left(−\mathrm{1}\right)=? \\ $$ Commented by greougoury555 last updated on 02/Jul/22 $$\:\Rightarrow{x}^{\mathrm{3}}…

Question-172820

Question Number 172820 by Mikenice last updated on 01/Jul/22 Answered by CElcedricjunior last updated on 02/Jul/22 $$\frac{\left(\boldsymbol{\mathrm{x}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)^{\boldsymbol{\mathrm{m}}} \left(\boldsymbol{\mathrm{x}}−\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)^{\boldsymbol{\mathrm{n}}} }{\left(\boldsymbol{\mathrm{y}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)^{\boldsymbol{\mathrm{m}}} \left(\boldsymbol{\mathrm{y}}−\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}\right)^{\boldsymbol{\mathrm{n}}} }=\left(\frac{\boldsymbol{\mathrm{x}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}}{\boldsymbol{\mathrm{y}}+\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}}\right)^{\boldsymbol{\mathrm{m}}} ×\left(\frac{\boldsymbol{\mathrm{x}}−\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}}}{\boldsymbol{\mathrm{y}}−\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}}}\right)^{\boldsymbol{\mathrm{n}}} \\ $$$$=\left[\left(\frac{\boldsymbol{\mathrm{xy}}+\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)×\left(\frac{\boldsymbol{\mathrm{x}}}{\boldsymbol{\mathrm{xy}}+\mathrm{1}}\right)\right]^{\boldsymbol{\mathrm{n}}} ×\left[\left(\frac{\boldsymbol{\mathrm{xy}}−\mathrm{1}}{\boldsymbol{\mathrm{y}}}\right)×\left(\frac{\boldsymbol{\mathrm{x}}}{\boldsymbol{\mathrm{xy}}−\mathrm{1}}\right)\right]^{\boldsymbol{\mathrm{m}}}…

What-is-the-requirement-of-last-axioms-i-e-1v-v-v-V-in-the-definition-of-vector-space-

Question Number 107262 by udaythool last updated on 09/Aug/20 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{requirement}\:\mathrm{of}\:\mathrm{last} \\ $$$$\mathrm{axioms}\:\mathrm{i}.\mathrm{e}.\:\mathrm{1}{v}={v}\:\forall\:{v}\in{V}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{definition}\:\mathrm{of}\:\mathrm{vector}\:\mathrm{space}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Q-how-many-natural-numbers-less-than-6000-exist-such-as-the-sum-of-their-digits-equal-to-8-choices-155-165-164-158-

Question Number 172802 by mnjuly1970 last updated on 01/Jul/22 $$ \\ $$$$\:\:\:\: \\ $$$$\:\mathrm{Q}:\:\:\:\:\mathrm{how}\:\mathrm{many}\:\mathrm{natural}\:\mathrm{numbers}\:\mathrm{less}\:\mathrm{than} \\ $$$$\:\:\:\:\:\:\mathrm{6000}\:\:,\:\mathrm{exist}\:\mathrm{such}\:\mathrm{as}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{their}\:\mathrm{digits}\:\:\mathrm{equal}\:\mathrm{to}\:\:\:\mathrm{8}\:? \\ $$$$\:\mathrm{choices}:\:\:\:\:\mathrm{155}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{165}\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{164}\:\:\:\:\:\:\:\:\:\:\mathrm{158} \\ $$$$\:\:\:\:\:\:\: \\ $$$$ \\…

a-2-1-10-14a-6-a-2-a-10-choices-2-3-7-8-

Question Number 172798 by mnjuly1970 last updated on 01/Jul/22 $$ \\ $$$$\:\:\:\:\:\mathrm{a}^{\:\mathrm{2}} −\mathrm{1}\:\overset{\mathrm{10}} {\equiv}\:\mathrm{14a}\:+\mathrm{6} \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{a}^{\:\mathrm{2}} \:+\mathrm{a}\:\overset{\mathrm{10}} {\equiv}\:?\:\:\:\: \\ $$$$\:\:\mathrm{choices}:\:\:\:\:\:\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{7}\:\:\:\:\:\:\:\:\:\:\:\mathrm{8} \\ $$$$\: \\…

Difference-of-last-two-digits-of-2019-2019-2019-is-

Question Number 41720 by Tawa1 last updated on 11/Aug/18 $$\mathrm{Difference}\:\mathrm{of}\:\mathrm{last}\:\mathrm{two}\:\mathrm{digits}\:\mathrm{of}\:\:\:\:\mathrm{2019}^{\mathrm{2019}^{\mathrm{2019}} } \:\:\:\mathrm{is}\:\:? \\ $$ Commented by MJS last updated on 12/Aug/18 $$=\mathrm{2019}×\mathrm{2019}×\mathrm{2019}×… \\ $$$$\mathrm{so}\:\mathrm{we}\:\mathrm{first}\:\mathrm{need}\:\mathrm{to}\:\mathrm{know}\:\mathrm{the}\:\mathrm{sequence}\:\mathrm{of}\:\mathrm{the} \\…