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Eliva
- 7
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tiny-tim said:Hi Eliva!
If the attachment is just the equation that you have to prove, then please type it out for us.
It's not fair on the moderators to make them do the work of checking your attachment when it would be far less work for you to type it out.
Yes, I might have not explained it quite right. The thing is that u acctually need to find the number a, if all those three statements are correct, which at the same time is suppose to be the lowest (smallest) natural number. As in my knowledge it might have smth to do with finding the GCD of these numbers, or maybe use the Euclidean algorithm, but I am not sure exactly how. k1, k2, and k3 are merely constants, they can be any number, it only means that for instance, in the first statement a/2 exists as a full square from some number K. Please have in mind that all three statements must be correct for the number a.HallsofIvy said:the attachment says
a/2= k12
a/3= k22
a/5= k32
Since his statement of the problem say simply "Find the smalllest number from N that satisfies" and ends there, this makes no sense at all.
HallsofIvy said:the attachment says
a/2= k12
a/3= k22
a/5= k32
Yessss! that's exactly what I am asking! :) Thank you, my math-english is so bad, I am really having troubles setting the words right.tiny-tim said:So you mean the question is "In the natural numbers, N, find the lowest such that half of it is a perfect square, one-third is a perfect cube, and one fifth is a perfect fifth power"?
not much :) i can see that 2|a, 3|a, 5|a .. but i can't go passed that... i tried doing a more equations with the given statements, but i seem to be going in circle.tiny-tim said:Hint: Start by writing out some equations which combine more than one of the three basic equations (and call them p q and r rather than k1 k2 and k3 … it's easier to type ).
What do you get?
Eliva said:not much :) i can see that 2|a, 3|a, 5|a .. but i can't go passed that
tiny-tim said:2a3b5cd
In the natural numbers, N, find the lowest such that half of it is a perfect square, one-third is a perfect cube, and one fifth is a perfect fifth power.Tedjn said:Given the way you have written a, what is a/2, a/3, a/5? What must they equal?
This phrase refers to finding the smallest value of n that meets a certain condition or requirement within a given set of numbers, N.
This is a type of optimization problem, where the goal is to minimize the value of n while still satisfying a given condition.
There are various approaches to solving this type of problem, including using mathematical equations, algorithms, or computer programming. The specific method will depend on the given condition and set of numbers.
An example of this type of problem could be finding the smallest number of marbles needed to distribute evenly among a group of children without any left over. Another example could be finding the smallest number of workers needed to complete a task within a certain timeframe.
This type of problem is important because it allows for efficient and effective decision making. By finding the lowest value of n that satisfies a given condition, resources can be optimized and potential wastage can be minimized.