SOLUTION: The sum of the squares of two numbers which differ by 3 is equal to 549. Find the numbers.
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Question 629902: The sum of the squares of two numbers which differ by 3 is equal to 549. Find the numbers.
Answer by Charles3475(23) (Show Source): You can put this solution on YOUR website!
Let x be the first number.
The second number would then be x + 3
The sum of the squares would then be:
(Given)
(Expand terms)
(Subtract 549 from both sides and Add like terms)
(Divide both sides by 2)
(Factor the equation)
Either (x+18) = 0 or (x-15) = 0
x equals -18 or 15 (Solve for x)
There are two pairs of numbers that work (-18, -15) and (15, 18)
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