SOLUTION: A positive real number is 3 less than another. When 6 times the larger is added to the square of the smaller, the result is 57. Find the numbers.

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Question 1104856: A positive real number is 3 less than another. When 6 times the larger is added to the square of the smaller, the result is 57. Find the numbers.
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Let the numbers be x and x-3. Then the problem says

6x+%2B+%28x-3%29%5E2+=+57
6x+%2B+x%5E2-6x%2B9+=+57
x%5E2%2B9+=+57
x%5E2+=+48
x+=+sqrt%2848%29+=+4%2Asqrt%283%29

The numbers are 4%2Asqrt%283%29 and 4%2Asqrt%283%29-3.

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