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

Question 708813: find two positive consecutive multiples of 3 such that the sum of their square is 369
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

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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