Question Number 189748 by normans last updated on 21/Mar/23 $$ \\ $$$$\:\:\:\:\:\boldsymbol{{x}}−\sqrt{\boldsymbol{{x}}}+\mathrm{1}=\mathrm{0} \\ $$$$\:\:\:\:\:\:\boldsymbol{{x}}=?? \\ $$ Commented by mr W last updated on 21/Mar/23 $${x}>\mathrm{0}…
Question Number 124210 by bramlexs22 last updated on 01/Dec/20 $$\:{If}\:{x}\:+\:\sqrt{{x}}\:=\:\mathrm{2020}\: \\ $$$${then}\:{x}\:+\:\frac{\mathrm{2020}}{\:\sqrt{{x}}}\:=\:? \\ $$ Answered by malwan last updated on 01/Dec/20 $${x}\:+\:\sqrt{{x}}\:=\:\mathrm{2020}\:\left(\boldsymbol{\div}\sqrt{{x}}\right) \\ $$$$\Rightarrow\sqrt{{x}}\:+\:\mathrm{1}\:=\:\frac{\mathrm{2020}}{\:\sqrt{{x}}} \\…
Question Number 58669 by hhghg last updated on 27/Apr/19 $$\left\{\left[\mathrm{3}×\left(\mathrm{5}+\mathrm{5}\right)\right]+\mathrm{5}\right\}+\left\{\left[\mathrm{4}+\left(\mathrm{5}×\mathrm{4}\right)+\mathrm{5}\right]\right\} \\ $$ Answered by hovea cw last updated on 27/Apr/19 $$\left[\mathrm{3}×\mathrm{10}+\mathrm{5}+\mathrm{9}+\mathrm{20}\right. \\ $$$$=\mathrm{30}+\mathrm{34} \\ $$$$=\mathrm{64}…
Question Number 58663 by mr W last updated on 27/Apr/19 Answered by ajfour last updated on 27/Apr/19 $$\:\mathrm{100T}_{\mathrm{n}+\mathrm{1}} =\left(\mathrm{n}+\mathrm{1}\right)\left(\mathrm{T}_{\mathrm{n}} +\mathrm{T}_{\mathrm{n}−\mathrm{1}} +…+\mathrm{T}_{\mathrm{1}} \right) \\ $$$$\:\mathrm{and}\:\:\mathrm{T}_{\mathrm{1}} +\mathrm{T}_{\mathrm{2}}…
Question Number 58644 by hhghg last updated on 27/Apr/19 $$\mathrm{6}+\mathrm{3}^{\mathrm{2}} ×\mathrm{4} \\ $$ Answered by hovea cw last updated on 27/Apr/19 $$\mathrm{use}\:\mathrm{bodmas} \\ $$$$\mathrm{6}+\mathrm{9}×\mathrm{4} \\…
Question Number 58641 by hhghg last updated on 27/Apr/19 $$\mathrm{What}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{8}}+\frac{\mathrm{1}}{\mathrm{4}}? \\ $$ Commented by Kunal12588 last updated on 27/Apr/19 $$\:{it}\:{is}\:{a}\:{fraction} \\ $$ Answered by hovea…
Question Number 58622 by mr W last updated on 26/Apr/19 $${solve} \\ $$$${x}+{y}=\mathrm{2}{xy} \\ $$$${y}+{z}=\mathrm{3}{yz} \\ $$$${z}+{x}=\mathrm{7}{zx} \\ $$ Commented by rahul 19 last updated…
Question Number 124149 by I want to learn more last updated on 01/Dec/20 $$\mathrm{Two}\:\mathrm{men}\:\mathrm{and}\:\mathrm{four}\:\mathrm{women}\:\mathrm{line}\:\mathrm{up}\:\mathrm{at}\:\mathrm{a}\:\mathrm{checkout}\:\mathrm{counter}\:\mathrm{in}\:\mathrm{a}\:\mathrm{store}. \\ $$$$\left(\mathrm{a}\right)\:\:\:\:\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{they}\:\mathrm{line}\:\mathrm{up}??? \\ $$$$\left(\mathrm{b}\right)\:\:\:\:\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{they}\:\mathrm{line}\:\mathrm{up}\:\mathrm{if}\:\mathrm{the}\:\mathrm{first}\:\mathrm{person}\:\mathrm{line}\:\mathrm{is} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mathrm{a}\:\mathrm{woman}\:\mathrm{and}\:\mathrm{the}\:\mathrm{line}\:\mathrm{changes}\:\mathrm{by}\:\mathrm{gender}.\:\left(\mathrm{w},\:\:\mathrm{m},\:\:\mathrm{w},\:\:\mathrm{w},\:\:\mathrm{m},\:\:\mathrm{w}\right)?? \\ $$ Commented by I…
Question Number 58592 by rahul 19 last updated on 25/Apr/19 $${If}\:\mid{z}−\mathrm{1}\mid=\mathrm{1},\:{then}\:{prove}\:{that}\:{arg}\left({z}\right)\:=\: \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{arg}\left({z}−\mathrm{1}\right). \\ $$ Answered by tanmay last updated on 26/Apr/19 $${z}={re}^{{i}\theta} ={rcos}\theta+{irsin}\theta \\…
Question Number 124110 by mathocean1 last updated on 30/Nov/20 $$ \\ $$$${N}=\left(\mathrm{3548}\right)^{\mathrm{9}} ×\left(\mathrm{2537}\right)^{\mathrm{31}} \\ $$$${Determinate}\:{the}\:{last}\:{digit}\:{of}\:{N}. \\ $$ Answered by floor(10²Eta[1]) last updated on 24/Dec/20 $$\mathrm{N}=\left(\mathrm{3548}\right)^{\mathrm{9}}…