SOLUTION: The number 40 is divided into two parts in such way that two times the square of the first number exceeds the second number by 5. Find the two numbers.

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Question 1143347: The number 40 is divided into two parts in such way that two times the
square of the first number exceeds the second number by 5. Find the two
numbers.
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


Call the numbers x and (40-x). Then the problem says

2%28x%5E2%29+=+%2840-x%29%2B5

That's a quadratic equation; as long as negative numbers are allowed, there will be two solutions.

You can find them -- by factoring, or using the quadratic formula if you prefer.