But I think this is easier(no squaring etc.)sourav das wrote:$4n^2$ is just smaller than $4n^2 + n$
So let $\sqrt{4n^2 + n}=2n + x $ here x is the fractional part. then do it in your way.
Exercise-1.14(new book) (BOMC-2011)
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Re: Exercise-1.14(new book) (BOMC-2011)
আমি তো শুধু বলসিলাম যেকোনো আক্তা দিয়াই হবে।
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Exercise-1.14(new book) (BOMC-2011)
Seems like two inequalities cut the time in half.
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Re: Exercise-1.14(new book) (BOMC-2011)
If you're saying about cut one minute to 30 second, yes you're right. But it is always better to have and know different ideas. Only for this reason i said so. It may help everyone with more choices.
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
Re: Exercise-1.14(new book) (BOMC-2011)
Yes , I agree, everybody ought to know all the solutions of the basic level problems.sourav das wrote:If you're saying about cut one minute to 30 second, yes you're right. But it is always better to have and know different ideas. Only for this reason i said so. It may help everyone with more choices.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
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Re: Exercise-1.14(new book) (BOMC-2011)
I also agree with you.*Mahi* wrote:Yes , I agree, everybody ought to know all the solutions of the basic level problems.sourav das wrote:If you're saying about cut one minute to 30 second, yes you're right. But it is always better to have and know different ideas. Only for this reason i said so. It may help everyone with more choices.
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
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Re: Exercise-1.14(new book) (BOMC-2011)
\[\left \lfloor \sqrt{\left ( 4n^2+n \right )} \right \rfloor=2n\]
which leads us to \[n< \left ( n+\left ( 1/16 \right ) \right )\]and its obvious.
which leads us to \[n< \left ( n+\left ( 1/16 \right ) \right )\]and its obvious.