loving-questions-of-the-form-if-then-find-the-sum-product-etc-of-so-please-solve-these-1-if-and-are-the-solutions-of-x-2-x-12-0-then-find-cosh-cot-2-if-a-b-2-and-a-b-0-then-find-

Question Number 113393 by Her_Majesty last updated on 13/Sep/20

$${loving}\:{questions}\:{of}\:{the}\:{form} \\ $$$$“{if}\:…\:{then}\:{find}\:{the}\:{sum}/{product}/{etc}.\:{of}… \\ $$$${so}\:{please}\:{solve}\:{these}: \\ $$$$\left(\mathrm{1}\right) \\ $$$${if}\:\gamma\:{and}\:\lambda\:{are}\:{the}\:{solutions}\:{of} \\ $$$${x}^{\mathrm{2}} +{x}−\mathrm{12}=\mathrm{0}\:{then}\:{find}\:{cosh}\lambda−{cot}\gamma \\ $$$$\left(\mathrm{2}\right) \\ $$$${if}\:{a}+{b}=\mathrm{2}\:{and}\:{a}−{b}=\mathrm{0}\:{then}\:{find} \\ $$$$\int{x}^{\frac{{a}+{b}}{\mathrm{2}{ab}}} {ln}\left(−{e}^{{i}\pi{a}} −{x}\right){ln}\left({e}^{{cos}^{−\mathrm{1}} {b}} −{x}\right){dx} \\ $$$${are}\:{you}\:{intelligent}\:{enough}? \\ $$$${then}\:{please}\:{please}\:{please}\:{sir}\:{or}\:{madam} \\ $$$${help}\:{me}!!!\:{I}\:{need}\:{an}\:{answer}\:\boldsymbol{\mathrm{urgentliest}}!!!! \\ $$$${good}\:{luck}! \\ $$$$\left({c}\right)\:{by}\:\mathbb{H}\mathfrak{e}\mathscr{R}\:\mathfrak{M}\boldsymbol{{a}}\mathbb{J}\epsilon\int{t}\mathscr{Y}\:\:\mathrm{20200913} \\ $$

Commented by john santu last updated on 13/Sep/20

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Commented by malwaan last updated on 13/Sep/20

$${x}^{\mathrm{2}} +{x}−\mathrm{12}=\mathrm{0} \\ $$$$\Rightarrow\left({x}−\mathrm{3}\right)\left({x}+\mathrm{4}\right)=\mathrm{0} \\ $$$$\therefore\:{solution}\:{set}\:=\:\left\{\mathrm{3};−\mathrm{4}\right\} \\ $$$$\left({i}\right)\gamma=\mathrm{3};\lambda=−\mathrm{4}\Rightarrow{cosh}\left(−\mathrm{4}\right)−{cot}\left(\mathrm{3}\right)=\mathrm{34}.\mathrm{32349} \\ $$$$\left({ii}\right)\gamma=−\mathrm{4};\lambda=\mathrm{3}\Rightarrow{cosh}\left(\mathrm{3}\right)−{cot}\left(−\mathrm{4}\right)=\mathrm{10}.\mathrm{93135} \\ $$

Commented by malwaan last updated on 13/Sep/20

$$\left(\mathrm{2}\right){a}+{b}=\mathrm{2}\:;\:{a}−{b}=\mathrm{0} \\ $$$$\Rightarrow{a}=\mathrm{1}\:;\:{b}=\mathrm{1} \\ $$$$\therefore\:\int{x}\:{ln}\left(\mathrm{1}−{x}\right){ln}\left(\mathrm{1}−{x}\right){dx}= \\ $$$$\int{x}\left[{ln}\left(\mathrm{1}−{x}\right)\right]^{\mathrm{2}} {dx}=… \\ $$

Commented by Rasheed.Sindhi last updated on 13/Sep/20

$${Perhaps}\:{Her}\:{Majesty}\:{wanted}\:{to} \\ $$$${give}\:{a}\:{message}! \\ $$

Commented by malwan last updated on 13/Sep/20

$${what}\:{is}\:{the}\:{point}\:{please}\:? \\ $$$${I}\:{am}\:{sure}\:{you}\:{don}^{,} {t}\:{need}\:{help} \\ $$$${but}\:{we}\left[{at}\:{least}\:{me}\right]{do} \\ $$$$ \\ $$

Commented by Her_Majesty last updated on 13/Sep/20

$${one}\:{point}\:{is}, \\ $$$$\left({you}\:{post}\:{a}\:{question}\right)\:\Rightarrow\:\left({you}\:{need}\:{help}\right) \\ $$$${no}\:{need}\:{to}\:{post}\:{the}\:{same}\:{question}\:{over}\:{and} \\ $$$${over}\:{again}.\:{l} \\ $$$${another}\:{point}\:{is},\:{people}\:{who}\:{post}\:{questions} \\ $$$${to}\:{show}\:{us}\:{we}\:{are}\:{unable}\:{to}\:{solve}\:{them}\:{while} \\ $$$${they}\:{themselves}\:{are}\:{able}\:{to},\:{ruin}\:{the}\:{forum}. \\ $$$${a}\:\mathrm{3}^{{rd}} \:{point}\:{is},\:{it}'{s}\:{useless}\:{to}\:{solve}\:{i}.{e}.\:{a} \\ $$$${polynome}\:{and}\:{ask}\:{for}\:{i}.{e}.\:“\mathrm{7}{x}_{\mathrm{1}} −\mathrm{13}{x}_{\mathrm{2}} +\mathrm{1}/{x}_{\mathrm{3}} '' \\ $$$${because}\:{there}'{s}\:{no}\:{takeaway}\:{from}\:{this}. \\ $$$${indeed}\:{there}\:{is}\:{if}\:{you}\:{ask}\:{for}\:“\mathrm{1}/{x}_{\mathrm{1}} +\mathrm{1}/{x}_{\mathrm{2}} + \\ $$$$+\mathrm{1}/{x}_{\mathrm{3}} ''…\:\Rightarrow\:\exists\left({silly}\:{questions}\right) \\ $$$$\mathrm{4}^{{th}} .\:{if}\:{you}\:{post}\:{something}\:{today}\:{everybody} \\ $$$${can}\:{see}\:{it}\:{was}\:{YOU}\:{and}\:{TODAY}.\:{no}\:{need}\:{to} \\ $$$${state}\:{these}\:{facts}\:{again}. \\ $$

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