Question Number 210496 by lmcp1203 last updated on 11/Aug/24 Commented by mr W last updated on 11/Aug/24 $${has}\:{that}\:{bracket}\:{a}\:{special}\:{meaning}? \\ $$ Commented by lmcp1203 last updated…
Question Number 210473 by Ismoiljon_008 last updated on 10/Aug/24 Answered by mrdiane last updated on 11/Aug/24 $${on}\:{a}\:\begin{cases}{\mathrm{7}^{\mathrm{2}} ={x}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}} −\mathrm{10}{xcos}\left(\theta\right)}\\{\mathrm{7}^{\mathrm{2}} ={x}^{\mathrm{2}} +\left({x}+\mathrm{5}\right)^{\mathrm{2}} −\mathrm{2}{x}\left({x}+\mathrm{5}\right){cos}\left(\Pi−\theta\right)}\end{cases} \\ $$$$\Leftrightarrow\begin{cases}{\mathrm{7}^{\mathrm{2}}…
Question Number 210456 by peter frank last updated on 09/Aug/24 Commented by mr W last updated on 09/Aug/24 $${who}\:{knows}\:{what}\:{is}\:\mathrm{2}\:{and}\:{what}\:{is}\:{z} \\ $$$${when}\:{you}\:{write}\:{them}\:{identically}? \\ $$ Commented by…
Question Number 210457 by peter frank last updated on 09/Aug/24 Commented by peter frank last updated on 09/Aug/24 $$\left(\mathrm{b}\right)\:\mathrm{and}\:\left(\mathrm{c}\right)\:\mathrm{help} \\ $$ Commented by mr W…
Question Number 210441 by universe last updated on 09/Aug/24 Answered by aleks041103 last updated on 09/Aug/24 $$\left({i}\right)\: \\ $$$${for}\:{odd}\:{n},\:{the}\:{function}\:{sin}^{{n}} \left({nx}\right)\:{is}\:{similar} \\ $$$${to}\:{sin}\left({x}\right)\:{with}\:{the}\:{fact}\:{that}\:{the}\:{primitive}\:{function}\:{oscilates} \\ $$$${between}\:\mathrm{0}\:{and}\:{the}\:{maximal}\:{possible}\:{value} \\…
Question Number 210439 by universe last updated on 09/Aug/24 Commented by universe last updated on 09/Aug/24 $${prove}\:{that}\:{the}\:{sequence}\:{is}\:{bounded}\:{and}\: \\ $$$${convergent} \\ $$ Answered by aleks041103 last…
Question Number 210467 by maths_plus last updated on 09/Aug/24 $$\mathrm{1}+\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}+…+\sqrt{\mathrm{n}}\:\:\:\mathrm{irrational}\:??? \\ $$ Answered by Frix last updated on 10/Aug/24 $$\mathrm{Yes}!!! \\ $$ Commented by maths_plus…
Question Number 210396 by jirodomo last updated on 08/Aug/24 Commented by jirodomo last updated on 08/Aug/24 $$\mathrm{applying}\:\mathrm{partial}\:\mathrm{fraction}\:\mathrm{decomposition} \\ $$$$\mathrm{straight}\:\mathrm{away}\:\mathrm{seems}\:\mathrm{impossible}\:\mathrm{here}. \\ $$$$\mathrm{is}\:\mathrm{there}\:\mathrm{other}\:\mathrm{way}?\:\mathrm{im}\:\mathrm{stuck}\:\mathrm{for}\:\mathrm{a}\:\mathrm{few} \\ $$$$\mathrm{months}\:\mathrm{now}. \\ $$…
Question Number 210392 by peter frank last updated on 08/Aug/24 Commented by mr W last updated on 09/Aug/24 $${in}\:\left({b}\right)\:{it}\:{is}\:\frac{\mathrm{1}}{\mathrm{7}},\:{not}\:\frac{\mathrm{1}}{\mathrm{4}}. \\ $$ Answered by mr W…
If-the-roots-of-the-quadratic-equation-a-b-c-x-2-c-b-a-x-2-b-c-0-are-real-and-equal-then-find-a-b-c-
Question Number 210362 by MATHEMATICSAM last updated on 10/Sep/24 $$\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{equation} \\ $$$$\left({a}\:−\:{b}\:+\:{c}\right){x}^{\mathrm{2}} \:+\:\left({c}\:−\:{b}\:−\:{a}\right){x}\:+\:\mathrm{2}\left({b}\:−\:{c}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{are}\:\mathrm{real}\:\mathrm{and}\:\mathrm{equal}\:\mathrm{then}\:\mathrm{find}\:\frac{{a}}{{b}\:−\:{c}}\:. \\ $$ Commented by som(math1967) last updated on 08/Aug/24 $${not}\:{qudratic}\:,{it}\:{should}\:{be}\:\left({a}−{b}+{c}\right){x}^{\mathrm{2}}…