Question Number 112128 by mohammad17 last updated on 06/Sep/20 Commented by mohammad17 last updated on 06/Sep/20 $${please}\:{sir}\:{help}\:{me} \\ $$ Commented by bobhans last updated on…
Question Number 46586 by naka3546 last updated on 28/Oct/18 $${Solve}\:\:{x}\:\:\in\:\mathbb{R} \\ $$$$\:\:\:\:\:\:\:\:\:{x}\:+\:\:\frac{{x}}{\:\sqrt{{x}^{\mathrm{2}} \:+\:\mathrm{1}}}\:\:=\:\:\frac{\mathrm{35}}{\mathrm{12}} \\ $$ Answered by Kunal12588 last updated on 29/Oct/18 $$\Rightarrow\frac{{x}\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}+{x}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}}=\frac{\mathrm{35}}{\mathrm{12}}…
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Question Number 177633 by aurpeyz last updated on 07/Oct/22 $$\mathrm{A}\:\mathrm{certain}\:\mathrm{personal}\:\mathrm{identity}\:\mathrm{number}\:\left(\mathrm{pin}\right) \\ $$$$\mathrm{is}\:\mathrm{a}\:\mathrm{sequence}\:\mathrm{of}\:\mathrm{four}\:\mathrm{digits}\:\mathrm{where}\:\mathrm{each}\:\mathrm{digit} \\ $$$$\mathrm{is}\:\mathrm{selected}\:\mathrm{from}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{0}\:\mathrm{to}\:\mathrm{9}.\:\mathrm{How}\:\mathrm{many} \\ $$$$\mathrm{such}\:\mathrm{pins}\:\mathrm{have}\:\mathrm{at}\:\mathrm{least}\:\mathrm{two}\:\mathrm{diffrent}\:\mathrm{digits} \\ $$$$\mathrm{and}\:\mathrm{are}\:\mathrm{palindromes}.\:\left(\mathrm{Palindrome}\:\mathrm{is}\:\mathrm{a}\:\mathrm{cha}−\right. \\ $$$$\mathrm{racter}\:\mathrm{that}\:\mathrm{reads}\:\mathrm{the}\:\mathrm{same}\:\mathrm{forward}\:\mathrm{and}\: \\ $$$$\left.\mathrm{backward}\:\mathrm{e}.\mathrm{g}\:\mathrm{1221}\right) \\ $$ Commented…
Question Number 177634 by aurpeyz last updated on 07/Oct/22 Answered by HeferH last updated on 07/Oct/22 $$\: \\ $$$$\:\frac{{CD}}{{AD}}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\: \\ $$$$\:\frac{{A}_{\mathrm{1}} }{{A}_{{t}} }\:\:=\:\frac{\mathrm{1}}{\mathrm{9}}\Rightarrow\:\frac{\mathrm{42}}{{A}_{{t}} }\:=\:\frac{\mathrm{1}}{\mathrm{9}} \\…
Question Number 112096 by mathdave last updated on 06/Sep/20 Answered by mr W last updated on 06/Sep/20 $${say}\:{ab}={k}^{\mathrm{2}} \\ $$$$\frac{{a}+{b}}{\mathrm{2}}−{k}=\mathrm{1} \\ $$$$\Rightarrow{a}+{b}=\mathrm{2}\left({k}+\mathrm{1}\right) \\ $$$${a},\:{b}\:{are}\:{roots}\:{of} \\…
Question Number 46553 by hassentimol last updated on 28/Oct/18 $$\mathrm{Can}\:\mathrm{someone}\:\mathrm{please}\:\mathrm{explain}\:\mathrm{me}\:\mathrm{how}\:\mathrm{to} \\ $$$$\mathrm{solve}\:\mathrm{a}\:\mathrm{quadratic}\:\mathrm{equation}\:\mathrm{without}\:\mathrm{the}\: \\ $$$$\mathrm{common}\:\mathrm{formulas}\:\mathrm{but}\:\mathrm{with}\:\mathrm{the}\:\mathrm{sums}\:\mathrm{and} \\ $$$$\mathrm{products}\:\mathrm{method}\:\mathrm{please}\:? \\ $$$$\mathrm{Thank} \\ $$ Answered by ajfour last updated…
Question Number 177621 by aurpeyz last updated on 07/Oct/22 $$\mathrm{For}\:\mathrm{all}\:\mathrm{positive}\:\mathrm{integer}\:\mathrm{n}.\:\mathrm{f}\left(\mathrm{n}\right)\:\mathrm{is}\:\mathrm{defined} \\ $$$$\mathrm{as}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\:\mathrm{n}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{k} \\ $$$$\mathrm{where}\:\mathrm{k}\:\mathrm{is}\:\mathrm{an}\:\mathrm{integer}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{1}.\: \\ $$$$\mathrm{f}\left(\mathrm{k}+\mathrm{25}\right)=\mathrm{3} \\ $$$$\mathrm{Quantity}\:\mathrm{A}:\:\mathrm{k} \\ $$$$\mathrm{Quantity}\:\mathrm{B}:\:\mathrm{5} \\ $$ Commented by aurpeyz…
Question Number 46549 by Rio Michael last updated on 28/Oct/18 $${is}\:{there}\:{any}\:{other}\:{maths}\:{forum}\:{apart}\:{from}\:{this}? \\ $$ Commented by math khazana by abdo last updated on 28/Oct/18 $${there}\:{is}\:{alots}\:{of}\:{maths}\:{forum}\:{but}\:{i}\:{am}\:{sur}\:{that} \\…
Question Number 177619 by aurpeyz last updated on 07/Oct/22 $${Let}\:{r}\:{be}\:{a}\:{positive}\:{integer}.\:{List}\:{S}\:{consists} \\ $$$${of}\:{integers}\:{from}\:−{r}\:{to}\:\:{r}\:{where}\:{each}\:{integers} \\ $$$${occurs}\:{once}.\:{List}\:{T}\:{consists}\:{of}\:{the}\:{integers}\:{from} \\ $$$$−{r}\:{to}\:{r}\:{where}\:{each}\:{of}\:{the}\:{two}\:{integers} \\ $$$$−{r}\:{and}\:{r}\:{occurs}\:{twice}\:{and}\:{each}\:{of}\:{the}\: \\ $$$${other}\:{integers}\:{occur}\:{once}. \\ $$$${Quantity}\:{A}:\:{the}\:{standard}\:{deviation}\:{of}\:{the} \\ $$$${integers}\:{in}\:{S} \\…