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?

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
.
Solving for 'x'
.
-x=-10
x = 10
.
Now we can check for the perfect square...
.
x+6 = 16 :: a perfect square
.
Continue checking for the other condition...
2x-4= 20-4 = 16, which =x+6
Correct!
.
Answer: The number is 10.
.
Done.
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