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Question Number 95246 by Crabby89p13 last updated on 24/May/20

Answered by mr W last updated on 24/May/20

Commented by mr W last updated on 24/May/20

S_2 +S_1 =(√((2+10+S_3 )^2 −4×10S_3 ))=S_3   144−16S_3 =0  ⇒S_3 =9=S_1 +S_2   Area=10+2+9+9=30    see also Q83268

$${S}_{\mathrm{2}} +{S}_{\mathrm{1}} =\sqrt{\left(\mathrm{2}+\mathrm{10}+{S}_{\mathrm{3}} \right)^{\mathrm{2}} −\mathrm{4}×\mathrm{10}{S}_{\mathrm{3}} }={S}_{\mathrm{3}} \\ $$$$\mathrm{144}−\mathrm{16}{S}_{\mathrm{3}} =\mathrm{0} \\ $$$$\Rightarrow{S}_{\mathrm{3}} =\mathrm{9}={S}_{\mathrm{1}} +{S}_{\mathrm{2}} \\ $$$${Area}=\mathrm{10}+\mathrm{2}+\mathrm{9}+\mathrm{9}=\mathrm{30} \\ $$$$ \\ $$$${see}\:{also}\:{Q}\mathrm{83268} \\ $$

Commented by mr W last updated on 24/May/20

sorry sir! i should have had to wait  for your solution. i am also interested  what your path is.

$${sorry}\:{sir}!\:{i}\:{should}\:{have}\:{had}\:{to}\:{wait} \\ $$$${for}\:{your}\:{solution}.\:{i}\:{am}\:{also}\:{interested} \\ $$$${what}\:{your}\:{path}\:{is}. \\ $$

Commented by Farruxjano last updated on 24/May/20

Great solution!!!  :)

$$\left.\boldsymbol{{Great}}\:\boldsymbol{{solution}}!!!\:\::\right) \\ $$

Commented by Crabby89p13 last updated on 24/May/20

thank you so much

$${thank}\:{you}\:{so}\:{much} \\ $$

Commented by Farruxjano last updated on 24/May/20

ok i′ll send it

$$\boldsymbol{{ok}}\:\boldsymbol{{i}}'\boldsymbol{{ll}}\:\boldsymbol{{send}}\:\boldsymbol{{it}} \\ $$

Commented by Farruxjano last updated on 24/May/20

Please, help me I can′t send an image  (a picture)

$$\boldsymbol{{Please}},\:\boldsymbol{{help}}\:\boldsymbol{{me}}\:\boldsymbol{{I}}\:\boldsymbol{{can}}'\boldsymbol{{t}}\:\boldsymbol{{send}}\:\boldsymbol{{an}}\:\boldsymbol{{image}} \\ $$$$\left(\boldsymbol{{a}}\:\boldsymbol{{picture}}\right) \\ $$

Commented by Farruxjano last updated on 24/May/20

Help!!!!!!!!!!!

$$\boldsymbol{{Help}}!!!!!!!!!!! \\ $$

Commented by i jagooll last updated on 24/May/20

your must be crop the image

$$\mathrm{your}\:\mathrm{must}\:\mathrm{be}\:\mathrm{crop}\:\mathrm{the}\:\mathrm{image} \\ $$

Commented by mr W last updated on 24/May/20

This is how to input an image as  question, as answer or as comment    if you want to input an image as  a new question, just click on the  picture icon in the command line  on the top of the screen.    if you want to input an image as  answer or comment to an existing  question, click on the ••• icon on  the title bar of the post you want to  answer, then select “attach image”.  then browse to the place where your  image is saved and select the image.  then you see following window:

$${This}\:{is}\:{how}\:{to}\:{input}\:{an}\:{image}\:{as} \\ $$$${question},\:{as}\:{answer}\:{or}\:{as}\:{comment} \\ $$$$ \\ $$$${if}\:{you}\:{want}\:{to}\:{input}\:{an}\:{image}\:{as} \\ $$$${a}\:{new}\:{question},\:{just}\:{click}\:{on}\:{the} \\ $$$${picture}\:{icon}\:{in}\:{the}\:{command}\:{line} \\ $$$${on}\:{the}\:{top}\:{of}\:{the}\:{screen}. \\ $$$$ \\ $$$${if}\:{you}\:{want}\:{to}\:{input}\:{an}\:{image}\:{as} \\ $$$${answer}\:{or}\:{comment}\:{to}\:{an}\:{existing} \\ $$$${question},\:{click}\:{on}\:{the}\:\bullet\bullet\bullet\:{icon}\:{on} \\ $$$${the}\:{title}\:{bar}\:{of}\:{the}\:{post}\:{you}\:{want}\:{to} \\ $$$${answer},\:{then}\:{select}\:``{attach}\:{image}''. \\ $$$${then}\:{browse}\:{to}\:{the}\:{place}\:{where}\:{your} \\ $$$${image}\:{is}\:{saved}\:{and}\:{select}\:{the}\:{image}. \\ $$$${then}\:{you}\:{see}\:{following}\:{window}: \\ $$

Commented by mr W last updated on 24/May/20

Commented by mr W last updated on 24/May/20

if you just want to input a part of  your image, then crop the image by  moving and sizing the black frame.  only the part within the black frame  will be inputed. if your image has  already the proper size, then you  don′t need to crop it, in this case you  can click on the “disable crop” button,  then the whole image will be inputed.  certainly you can also rotate your  image in case of need. finally click  on the button “add as comment” or  “add as answer”.  that′s all.

$${if}\:{you}\:{just}\:{want}\:{to}\:{input}\:{a}\:{part}\:{of} \\ $$$${your}\:{image},\:{then}\:{crop}\:{the}\:{image}\:{by} \\ $$$${moving}\:{and}\:{sizing}\:{the}\:{black}\:{frame}. \\ $$$${only}\:{the}\:{part}\:{within}\:{the}\:{black}\:{frame} \\ $$$${will}\:{be}\:{inputed}.\:{if}\:{your}\:{image}\:{has} \\ $$$${already}\:{the}\:{proper}\:{size},\:{then}\:{you} \\ $$$${don}'{t}\:{need}\:{to}\:{crop}\:{it},\:{in}\:{this}\:{case}\:{you} \\ $$$${can}\:{click}\:{on}\:{the}\:``{disable}\:{crop}''\:{button}, \\ $$$${then}\:{the}\:{whole}\:{image}\:{will}\:{be}\:{inputed}. \\ $$$${certainly}\:{you}\:{can}\:{also}\:{rotate}\:{your} \\ $$$${image}\:{in}\:{case}\:{of}\:{need}.\:{finally}\:{click} \\ $$$${on}\:{the}\:{button}\:``{add}\:{as}\:{comment}''\:{or} \\ $$$$``{add}\:{as}\:{answer}''. \\ $$$${that}'{s}\:{all}. \\ $$

Commented by Farruxjano last updated on 24/May/20

Oh, you′ve greatly helped me! Thanks!

$$\boldsymbol{{Oh}},\:\boldsymbol{{you}}'\boldsymbol{{ve}}\:\boldsymbol{{greatly}}\:\boldsymbol{{helped}}\:\boldsymbol{{me}}!\:\boldsymbol{{Thanks}}! \\ $$

Answered by Farruxjano last updated on 24/May/20

Area=30 I′ll send the solution a bit later

$$\boldsymbol{{Area}}=\mathrm{30}\:\boldsymbol{{I}}'\boldsymbol{{ll}}\:\boldsymbol{{send}}\:\boldsymbol{{the}}\:\boldsymbol{{solution}}\:\boldsymbol{{a}}\:\boldsymbol{{bit}}\:\boldsymbol{{later}} \\ $$

Commented by Crabby89p13 last updated on 24/May/20

Ok..

$${Ok}.. \\ $$

Answered by Farruxjano last updated on 24/May/20

Σ_(n=1) ^∞ (((−1)^(n+1) )/(√n))=1−(1/(√2))+(1/(√3))−(1/(√4))+...=?  Help please

$$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{\boldsymbol{{n}}+\mathrm{1}} }{\sqrt{\boldsymbol{{n}}}}=\mathrm{1}−\frac{\mathrm{1}}{\sqrt{\mathrm{2}}}+\frac{\mathrm{1}}{\sqrt{\mathrm{3}}}−\frac{\mathrm{1}}{\sqrt{\mathrm{4}}}+...=? \\ $$$$\boldsymbol{{Help}}\:\boldsymbol{{please}} \\ $$

Commented by mr W last updated on 24/May/20

if you want to introduce a new topic  or have an other question, please   open a new thread. don′t put it into  an other existing thread (like here)  which has nothing to do with your  topic.  to open a new thread just click on  the “+” icon on the command line  on the top of screen, or on the picture  icon if you want to input a picture  as new question.  i have made big efforts to make  all these “how to do”s for you, please   use them!

$${if}\:{you}\:{want}\:{to}\:{introduce}\:{a}\:{new}\:{topic} \\ $$$${or}\:{have}\:{an}\:{other}\:{question},\:{please}\: \\ $$$${open}\:{a}\:{new}\:{thread}.\:{don}'{t}\:{put}\:{it}\:{into} \\ $$$${an}\:{other}\:{existing}\:{thread}\:\left({like}\:{here}\right) \\ $$$${which}\:{has}\:{nothing}\:{to}\:{do}\:{with}\:{your} \\ $$$${topic}. \\ $$$${to}\:{open}\:{a}\:{new}\:{thread}\:{just}\:{click}\:{on} \\ $$$${the}\:``+''\:{icon}\:{on}\:{the}\:{command}\:{line} \\ $$$${on}\:{the}\:{top}\:{of}\:{screen},\:{or}\:{on}\:{the}\:{picture} \\ $$$${icon}\:{if}\:{you}\:{want}\:{to}\:{input}\:{a}\:{picture} \\ $$$${as}\:{new}\:{question}. \\ $$$${i}\:{have}\:{made}\:{big}\:{efforts}\:{to}\:{make} \\ $$$${all}\:{these}\:``{how}\:{to}\:{do}''{s}\:{for}\:{you},\:{please}\: \\ $$$${use}\:{them}! \\ $$

Answered by Farruxjano last updated on 24/May/20

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