Menu Close

Category: Algebra

Calculer-lim-x-2-x-2-x-2-6-x-2-

Question Number 216316 by a.lgnaoui last updated on 03/Feb/25 $$\mathrm{Calculer} \\ $$$$\mathrm{lim}_{\boldsymbol{\mathrm{x}}\rightarrow−\mathrm{2}} \frac{\boldsymbol{\mathrm{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{x}}−\mathrm{2}}{\:\sqrt{\mathrm{6}+\boldsymbol{\mathrm{x}}}\:−\mathrm{2}} \\ $$ Answered by A5T last updated on 03/Feb/25 $$\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{x}−\mathrm{2}}{\:\sqrt{\mathrm{6}+\mathrm{x}}−\mathrm{2}}=\frac{\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{1}\right)\left(\sqrt{\mathrm{6}+\mathrm{x}}+\mathrm{2}\right)}{\mathrm{2}+\mathrm{x}}…

If-ab-2-bc-2-ca-2-0-then-find-a-b-b-c-b-c-c-a-c-a-a-b-2-

Question Number 216312 by MATHEMATICSAM last updated on 03/Feb/25 $$\mathrm{If}\:{ab}^{\mathrm{2}} \:+\:{bc}^{\mathrm{2}} \:+\:{ca}^{\mathrm{2}} \:=\:\mathrm{0}\:\mathrm{then}\:\mathrm{find}\: \\ $$$$\left(\frac{{a}}{{b}}\:+\:\frac{{b}}{{c}}\right)\:+\:\left(\frac{{b}}{{c}}\:+\:\frac{{c}}{{a}}\right)\:+\:\left(\frac{{c}}{{a}}\:+\:\frac{{a}}{{b}}\right)\:+\:\mathrm{2}. \\ $$ Answered by Rasheed.Sindhi last updated on 03/Feb/25 $${ab}^{\mathrm{2}}…

If-b-c-x-c-a-y-a-b-z-0-then-prove-that-b-c-y-z-c-a-z-x-a-b-x-y-

Question Number 216270 by MATHEMATICSAM last updated on 02/Feb/25 $$\mathrm{If}\:\left({b}\:−\:{c}\right){x}\:+\:\left({c}\:−\:{a}\right){y}\:+\:\left({a}\:−\:{b}\right){z}\:=\:\mathrm{0}\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{b}\:−\:{c}}{{y}\:−\:{z}}\:=\:\frac{{c}\:−\:{a}}{{z}\:−\:{x}}\:=\:\frac{{a}\:−\:{b}}{{x}\:−\:{y}}\:. \\ $$ Answered by Rasheed.Sindhi last updated on 02/Feb/25 $$\mathrm{If}\:\left({b}\:−\:{c}\right){x}\:+\:\left({c}\:−\:{a}\right){y}\:+\:\left({a}\:−\:{b}\right){z}\:=\:\mathrm{0}\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{b}\:−\:{c}}{{y}\:−\:{z}}\:=\:\frac{{c}\:−\:{a}}{{z}\:−\:{x}}\:=\:\frac{{a}\:−\:{b}}{{x}\:−\:{y}}\:. \\…

If-x-is-a-positive-acute-angle-and-sinx-sin-2-x-sin-3-x-1-then-find-minimum-value-of-cot-2-x-

Question Number 216253 by MATHEMATICSAM last updated on 01/Feb/25 $$\mathrm{If}\:{x}\:\mathrm{is}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{acute}\:\mathrm{angle}\:\mathrm{and} \\ $$$$\mathrm{sin}{x}\:+\:\mathrm{sin}^{\mathrm{2}} {x}\:+\:\mathrm{sin}^{\mathrm{3}} {x}\:=\:\mathrm{1}\:\mathrm{then}\:\mathrm{find} \\ $$$$\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{cot}^{\mathrm{2}} {x}. \\ $$ Commented by Frix last updated on…

Find-the-smallest-value-of-the-expression-a-b-c-d-b-c-d-a-c-d-a-b-d-a-b-c-a-b-c-d-N-

Question Number 216251 by Abdullahrussell last updated on 01/Feb/25 $${Find}\:{the}\:{smallest}\:{value}\:{of}\:{the}\:{expression} \\ $$$$\:\lfloor\frac{{a}+{b}+{c}}{{d}}\rfloor+\lfloor\frac{{b}+{c}+{d}}{{a}}\rfloor+\lfloor\frac{{c}+{d}+{a}}{{b}}\rfloor+\lfloor\frac{{d}+{a}+{b}}{{c}}\rfloor \\ $$$$\:\:\left({a},{b},{c},{d}\right)\in{N} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com