SOLUTION: find two positive consecutive multiples of 3 such that the sum of their square is 369

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Question 708813: find two positive consecutive multiples of 3 such that the sum of their square is 369
Answer by solver91311(24713) About Me  (Show Source):
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Let represent a postive multiple of 3. Then is the next consecutive positive multiple of 3. The sum of their squares is:



Expand the squared binomial, collect like terms, put the quadratic into standard form, and solve. Hint: this quadratic is factorable. Discard the negative root. Verify that the positive root is, indeed, divisible by 3. Then calculate

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