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 $\frac 1x$]
Dhaka Secondary 2010/1
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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.
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 .
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 .
Re: Dhaka Secondary 2010/1
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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