## Dhaka Secondary 2010/1

Problem for Secondary Group from Divisional Mathematical Olympiad will be solved here.
Forum rules
Please don't post problems (by starting a topic) in the "Secondary: Solved" forum. This forum is only for showcasing the problems for the convenience of the users. You can post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
BdMO
Posts: 134
Joined: Tue Jan 18, 2011 1:31 pm

### Dhaka Secondary 2010/1

Sum of two numbers is $2$ and their product is $3$. Find the sum of the reciprocal of the numbers.
[Hint: Reciprocal of $x$ is $\frac 1x$]

Sudip Deb
Posts: 6
Joined: Sun Dec 26, 2010 8:39 pm

### Re: Dhaka Secondary 2010/1

Suppose , the numbers are ( 1 -x ) and (1+ x)
so,
=>(1-x)(1+x) = 3 .
=>1 -x^2 = 3
=>-x^2 = 2
=> x^2 = -2
=> x = root(-2)
so, the numbers are (1-root(-2)) and (1+root(-2)) . Now its so easy .

Moon
Posts: 751
Joined: Tue Nov 02, 2010 7:52 pm
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### Re: Dhaka Secondary 2010/1

"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin