SOLUTION: A positive real number is 2 more than another. When -4 times the smaller is added to the square of the larger, the result is 36. Find the numbers.

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Question 1097770: A positive real number is 2 more than another. When -4 times the smaller is added to the square of the larger, the result is 36. Find the numbers.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=the smaller number
x+2=larger
-4(x)+(x+2)^2=36
-4x+x^2+4x+4=36
x^2=32
x=4 sqrt (2)
x+2=4 sqrt(2)+2
-16 sqrt(2)+32+16 sqrt(2)+4=36
36=36
the numbers are 4 sqrt(2)+2 and 4 sqrt (2)