SOLUTION: A number, when increased by six, is a perfect square. When the same number doubled is decreased by four, the result is the same. What is the number?
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Question 282503: A number, when increased by six, is a perfect square. When the same number doubled is decreased by four, the result is the same. What is the number? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! The setup ignores the perfect square statement and instead focuses on the relationship.
x+6=2x-4
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Solving for 'x'
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-x=-10
x = 10
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Now we can check for the perfect square...
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x+6 = 16 :: a perfect square
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Continue checking for the other condition...
2x-4= 20-4 = 16, which =x+6
Correct!
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Answer: The number is 10.
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Done.
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