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secondary 4 | A Maths
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Don’t know how to do
Date Posted: 4 years ago
Views: 244
z = 8, x = 0, y = ± 5
Or
z = 8, x = ± 5, y = 0
largest possible value of x + y + z where x,y,z are integers
= 8 + 5 = 13
Or
z = 8, x = ± 5, y = 0
largest possible value of x + y + z where x,y,z are integers
= 8 + 5 = 13
Hmmm...this one is tough. I also got z = 8 and the product “xy” = 0, but then, the power alpha does not seem to have a restriction. As in, it does not have to be an integer.
That power looks like alpha, not 2.
That power looks like alpha, not 2.
If the power is 2, either x or y must be 0 and the other must be 5 or -5.
If the power is alpha, however, the non-zero number can go to infinity.
I saw the power as alpha though, not 2, until I read the comments by J.
If the power is alpha, however, the non-zero number can go to infinity.
I saw the power as alpha though, not 2, until I read the comments by J.
Waiting for the student to clarify if it's 2 or α . This seems like another of those Math Olympiad questions
See 2 Answers
done
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Here I am taking the case as the power is 2.
Date Posted:
4 years ago
To add on, z cannot be 4 or - 4 or else the equation cannot be satisfied
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Here I am taking the case as the power is alpha, which can take any real value.
Date Posted:
4 years ago
In this case, z = 8, and since the product xy is 0, either x or y must be 0 while the other number can go up infinitely large, so there is no defined maximum value because the sun goes to infinity.
Yup. Since the question asked for largest possible value , seems to infer that it's some value to be found so that's why I took the power as 2
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