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Category: Algebra

Question-7433

Question Number 7433 by Tawakalitu. last updated on 28/Aug/16 Commented by Yozzia last updated on 28/Aug/16 $$ \\ $$$${u}=\frac{\underset{{i}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\sqrt{\mathrm{10}+\sqrt{{i}}}}{\underset{{i}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\sqrt{\mathrm{10}−\sqrt{{i}}}} \\ $$$$\Rightarrow{u}\underset{{i}=\mathrm{1}}…

Question-7407

Question Number 7407 by Tawakalitu. last updated on 27/Aug/16 Commented by sou1618 last updated on 27/Aug/16 $${another}\:{solution} \\ $$$$\mathrm{999}^{\mathrm{2}} <\mathrm{1024}^{\mathrm{2}} =\mathrm{2}^{\mathrm{10}×\mathrm{2}} =\mathrm{2}^{\mathrm{20}} \\ $$$${so}\:\mathrm{999}^{\mathrm{2}} <\mathrm{2}^{\mathrm{20}}…

Question-7413

Question Number 7413 by Tawakalitu. last updated on 28/Aug/16 Answered by sandy_suhendra last updated on 28/Aug/16 $$\left.\mathrm{9}\right)\:{the}\:{curve}\:{through}\:{the}\:{point}\:\left(−\mathrm{1},\mathrm{0}\right),\:\left(\mathrm{3},\mathrm{0}\right)\:{and}\:\left(−\mathrm{2},−\mathrm{10}\right) \\ $$$$\:\:\:\:\:{f}\left({x}\right)={a}\left({x}−{x}_{\mathrm{1}} \right)\left({x}−{x}_{\mathrm{2}} \right)\:{which}\:{x}_{\mathrm{1}} =−\mathrm{1}\:{and}\:{x}_{\mathrm{2}} =\mathrm{3} \\ $$$$\:\:\:\:\:\:−\mathrm{10}={a}\left(−\mathrm{2}+\mathrm{1}\right)\left(−\mathrm{2}−\mathrm{3}\right)…

hi-find-x-such-that-y-0-1-x-y-x-2y-

Question Number 138474 by henderson last updated on 14/Apr/21 $$\boldsymbol{\mathrm{hi}}\:!\: \\ $$$$\boldsymbol{\mathrm{find}}\:{x}\:\boldsymbol{\mathrm{such}}\:\boldsymbol{\mathrm{that}}\::\:\forall\:{y}\:\in\:\left[\mathrm{0},\mathrm{1}\right],\:{x}\:\geqslant\:{y}\:\Rightarrow\:{x}\:\geqslant\:\mathrm{2}{y}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-7360

Question Number 7360 by rohit meena last updated on 24/Aug/16 Answered by Rasheed Soomro last updated on 25/Aug/16 $$\left(\mathrm{3}\right) \\ $$$$\:\:\:\:\:\:\:\left(\mathrm{4}−{k}\right){x}^{\mathrm{2}} +\mathrm{2}\left({k}+\mathrm{2}\right){x}+\mathrm{8}{k}+\mathrm{1} \\ $$$${The}\:{value}\:{of}\:\:{k},{for}\:{which}\:{the}\:{above} \\…

Solve-the-simultaneous-equation-2x-y-z-8-i-x-2-y-2-2z-2-14-ii-3x-3-4y-3-z-3-195-iii-

Question Number 7330 by Tawakalitu. last updated on 23/Aug/16 $${Solve}\:{the}\:{simultaneous}\:{equation}\: \\ $$$$ \\ $$$$\mathrm{2}{x}\:\:+\:{y}\:\:−\:{z}\:=\:\mathrm{8}\:………\:\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:……….\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{y}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:=\:\mathrm{195}\:\:…………\:\left({iii}\right) \\…

Question-7331

Question Number 7331 by rohit meena last updated on 23/Aug/16 Commented by sandy_suhendra last updated on 24/Aug/16 $${for}\:{the}\:{simetric}\:{root},\:{like}\:{y}_{\mathrm{1}} =\mathrm{2}\alpha\:{and}\:{y}_{\mathrm{2}} =\mathrm{2}\beta,\:{we}\:{can}\:{use}\:{the}\:{subtitute}\:{method} \\ $$$${y}=\mathrm{2}{x}\:\Rightarrow{x}=\frac{\mathrm{1}}{\mathrm{2}}{y}\:{substitute}\:{to}\:{ax}^{\mathrm{2}} +\:{bx}\:+{c}\:=\:\mathrm{0} \\ $$$${a}\left(\frac{\mathrm{1}}{\mathrm{2}}{y}\right)^{\mathrm{2}}…