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 27. Find the numbers

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Question 1118897: 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 27. Find the numbers
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x=y-3%2C6y%2Bx%5E2=27%29

y=x%2B3
-
6%28x%2B3%29%2Bx%5E2=27
6x%2B18%2Bx%5E2-27=0
x%5E2%2B6x-9=0

x=%28-6%2Bsqrt%2836%2B4%2A9%29%29%2F2

x=%28-6%2Bsqrt%2872%29%29%2F2
x=%28-6%2B6%2Asqrt%282%29%29%2F2
x=-3%2B3%2Asqrt%282%29--------now find y.