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The sum of the squares of two positive numbers is 9,so how much will the sum of their cubes be??

Answer 1

#27#

#x^2+y^2=9#

Which squares add up to nine?

#0 + 9 =sqrt 0 + sqrt3# Works! #1 + 8# Neither are perfect squares #2 +7# Neither are perfect squares #3 +6# Neither are perfect squares #4 +5# Neither are perfect squares now repeats...

so only #0^2+3^2# works

#0^3+3^3 = 27#

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Answer 2

Eva Adamson

If the sum of the squares of two positive numbers is 9, then the sum of their cubes cannot be determined solely based on that information. More information about the relationship between the two numbers or the individual values of the numbers is needed to calculate the sum of their cubes. Therefore, without additional information, it is not possible to determine the sum of their cubes.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.