Question Number 179781 by Ari last updated on 02/Nov/22
Commented by Ari last updated on 02/Nov/22
who can solve it?
Commented by MJS_new last updated on 02/Nov/22
$$\mathrm{who}\:\mathrm{cannot}\:\mathrm{solve}\:\mathrm{it}? \\ $$
Commented by Acem last updated on 02/Nov/22
$${Why}\:{do}\:{you}\:{underestimate}\:{things}? \\ $$$${Is}\:{this}\:{forum}\:{for}\:{only}\:{professors}?\:{even}\:{they} \\ $$$$\:{make}\:{mistakes}!! \\ $$$${What}\:{if}\:{a}\:{student}\:{in}\:{elementary}\:{or}\:{even}\:{high} \\ $$$$\:{school}\:{followed}\:{the}\:{rule}\:\mid{x}+\mathrm{2}\mid=\:\ell\:\Rightarrow\:{x}+\mathrm{2}=\:\pm\ell \\ $$$$\:{and}\:{wrote}\:{in}\:{this}\:{case}\:{x}+\mathrm{2}=\:\pm\left(\mathrm{3}+\mathrm{5}{x}\right)\:{and} \\ $$$$\:{got}\:{x}=\:−\frac{\mathrm{1}}{\mathrm{4}}\:,\:{x}=\:−\frac{\mathrm{5}}{\mathrm{6}}\:{would}\:{you}\:{laugh}\:{at}\:{him} \\ $$$$\:{or}\:{teach},\:{that}\:{is}\:{if}\:{there}'{s}\:{no}\:{possibility}\:{of}\: \\ $$$$\:{you}\:{make}\:{this}\:{mistake}\:{yourself},\:{we}\:{didn}'{t}\:{see} \\ $$$$\:{your}\:{method}.\:{That}\:{is}\:{why}\:{our}\:{friend}\:{Ari}\:{asked} \\ $$$$\:{who}\:{can}\:{solve}. \\ $$$$ \\ $$$$ \\ $$
Commented by MJS_new last updated on 02/Nov/22
![I′ve been here for years now and we had this and similar discussions before. you can ask a question. but then you have to patiently wait for an answer. we “professors” are not here to answer any questions, we don′t get paid and often we even don′t get a simple thank yiu. some around here have had enough of people posting “who can solve this” “???... _([n times]) ” or even “can you solve this?” “I bet nobody can solve this” “only 1% can solve this”](https://www.tinkutara.com/question/Q179800.png)
$$\mathrm{I}'\mathrm{ve}\:\mathrm{been}\:\mathrm{here}\:\mathrm{for}\:\mathrm{years}\:\mathrm{now}\:\mathrm{and}\:\mathrm{we}\:\mathrm{had}\:\mathrm{this} \\ $$$$\mathrm{and}\:\mathrm{similar}\:\mathrm{discussions}\:\mathrm{before}. \\ $$$$\mathrm{you}\:\mathrm{can}\:\mathrm{ask}\:\mathrm{a}\:\mathrm{question}.\:\mathrm{but}\:\mathrm{then}\:\mathrm{you}\:\mathrm{have}\:\mathrm{to} \\ $$$$\mathrm{patiently}\:\mathrm{wait}\:\mathrm{for}\:\:\mathrm{an}\:\mathrm{answer}.\:\mathrm{we}\:“\mathrm{professors}'' \\ $$$$\mathrm{are}\:\mathrm{not}\:\mathrm{here}\:\mathrm{to}\:\mathrm{answer}\:\mathrm{any}\:\mathrm{questions},\:\mathrm{we}\:\mathrm{don}'\mathrm{t} \\ $$$$\mathrm{get}\:\mathrm{paid}\:\mathrm{and}\:\mathrm{often}\:\mathrm{we}\:\mathrm{even}\:\mathrm{don}'\mathrm{t}\:\mathrm{get}\:\mathrm{a}\:\mathrm{simple} \\ $$$${thank}\:{yiu}. \\ $$$$\mathrm{some}\:\mathrm{around}\:\mathrm{here}\:\mathrm{have}\:\mathrm{had}\:\mathrm{enough}\:\mathrm{of}\:\mathrm{people} \\ $$$$\mathrm{posting} \\ $$$$“\mathrm{who}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{this}'' \\ $$$$“???…\:_{\left[{n}\:\mathrm{times}\right]} '' \\ $$$$\mathrm{or}\:\mathrm{even} \\ $$$$“\mathrm{can}\:\mathrm{you}\:\mathrm{solve}\:\mathrm{this}?'' \\ $$$$“\mathrm{I}\:\mathrm{bet}\:\mathrm{nobody}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{this}'' \\ $$$$“\mathrm{only}\:\mathrm{1\%}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{this}'' \\ $$
Commented by Frix last updated on 02/Nov/22
$$\mathrm{it}'\mathrm{s}\:\mathrm{true}\:\mathrm{that}\:\mathrm{most}\:\mathrm{of}\:\mathrm{the}\:\mathrm{time}\:\mathrm{you}\:\mathrm{get}\:\mathrm{no} \\ $$$$\mathrm{feedback}\:\mathrm{at}\:\mathrm{all}. \\ $$
Commented by Rasheed.Sindhi last updated on 02/Nov/22
$$“\mathrm{who}\:\mathrm{cannot}\:\mathrm{solve}\:\mathrm{it}?''\:{means}\:“\mathcal{E}{very} \\ $$$${one}\:{can}\:{solve}\:{it}.''.\:{I}\:{see}\:{no}\:{underestimation}! \\ $$
Commented by Acem last updated on 02/Nov/22
$${No}\:{my}\:{friebd}\:{Rasheed},\:{not}\:{every}\:{one}\:{can} \\ $$
Commented by Acem last updated on 02/Nov/22
$${I}\:{also}\:{don}'{t}\:{get}\:{paid}\:{and}\:{don}'{t}\:{wait}\:{for}\:{thanks} \\ $$$$\:{and}\:{i}\:{can},\:{not}\:{put}\:{any}\:{question}\:{that}\:{has}\:{a}\:{benefit} \\ $$$$\:{or}\:{a}\:{special}\:{idea}\:{and}\:{not}\:{offer}\:{other}\:{methods} \\ $$$$\:{to}\:{solve}\:{and}\:{relax}\:{myself}. \\ $$$$\:{So},\:{because}\:{i}\:{see}\:{some}\:{don}'{t}\:{save}\:{effort},\:{i}\:{share} \\ $$$$\:{and}\:{do}\:{the}\:{same}.\:{and}\:{i}\:{can}\:{ignore}\:{the}\:{statement} \\ $$$$\:“\:{who}\:{can}\:{solve}\:{it}_{{n}\:{times}} ''\:{without}\:{disturbing}\:{anyonr} \\ $$$$\:{and}\:{either}\:{i}\:{answer}\:{or}\:{ignore}\:{whole}\:{the}\:{qeustion} \\ $$$$ \\ $$$${Am}\:{new},\:{have}\:{been}\:{here}\:{for}\:{a}\:{few}\:{days},\:{but}\:{i}\:{keep} \\ $$$$\:{in}\:{my}\:{mind}\:{that}\:{there}\:{are}\:{here}\:{young}\:{students}\: \\ $$$$\:{or}\:{sience}\:{enthusiasts}. \\ $$$${Sincerely}\:{my}\:{friend} \\ $$$$ \\ $$
Answered by mr W last updated on 02/Nov/22
$$\mid{x}+\mathrm{2}\mid=\mathrm{3}+\mathrm{5}{x}\:\geqslant\mathrm{0}\: \\ $$$$\Rightarrow{x}\geqslant−\frac{\mathrm{3}}{\mathrm{5}} \\ $$$$\Rightarrow{x}+\mathrm{2}\geqslant−\frac{\mathrm{3}}{\mathrm{5}}+\mathrm{2}=\frac{\mathrm{7}}{\mathrm{5}}>\mathrm{0} \\ $$$${x}+\mathrm{2}=\mathrm{3}+\mathrm{5}{x} \\ $$$$\Rightarrow{x}=−\frac{\mathrm{1}}{\mathrm{4}} \\ $$
Commented by Acem last updated on 02/Nov/22
$${Good}\:{friend}! \\ $$
Commented by Acem last updated on 02/Nov/22
$${yes}\:{the}\:−\frac{\mathrm{1}}{\mathrm{4}}\:{is}\:{correct} \\ $$
Answered by Frix last updated on 04/Nov/22
$${x}+\mathrm{2}={t} \\ $$$$\mid{t}\mid=\mathrm{5}{t}−\mathrm{7} \\ $$$$\mid{t}\mid+\mathrm{7}=\mathrm{5}{t}\:\:\:\:\:\left(\mid{t}\mid+\mathrm{7}>\mathrm{0}\:\Rightarrow\:\mathrm{5}{t}>\mathrm{0}\:\Leftrightarrow\:{t}>\mathrm{0}\right) \\ $$$${t}+\mathrm{7}=\mathrm{5}{t} \\ $$$${t}=\frac{\mathrm{7}}{\mathrm{4}}\:\Rightarrow\:{x}=−\frac{\mathrm{1}}{\mathrm{4}} \\ $$
Commented by Acem last updated on 02/Nov/22
$${Good}\:{friend}! \\ $$$$\:{simple}\:{note}:\:{you}\:{should}'{nt}\:{write} \\ $$$$\:\mid{t}\mid+\mathrm{7}>\mathrm{0}\:\Rightarrow\:\mathrm{5}{t}>\mathrm{0}\:\Leftrightarrow\:{t}>\mathrm{0}\:{between}\:{brackets} \\ $$$$\:{cause}\:{this}\:{statement}\:{is}\:{a}\:{step}\:{in}\:{finding}\:{a}\:{solution} \\ $$$$\:{not}\:{as}\:{an}\:{explanation}.\:{Thanks}! \\ $$$$ \\ $$