SOLUTION: I am supposed to find two positive real numbers that differ by 1 and have a product of 1. This is how I did this: x(x+1)=1 0+1=1 Is this right???

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Question 1929: I am supposed to find two positive real numbers that differ by 1 and have a product of 1.
This is how I did this:
x(x+1)=1
0+1=1
Is this right???

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
lol the first line is perfect, but then you jump in and guess the answer without solving the equation you found. Remember the question says real numbers...not integers, so they might well be decimal numbers.
Also, 0x1 is zero, not 1 so you are definitely wrong :-)
Let x = the smaller of the 2 numbers.
then x(x+1) = 1
so, x%5E2+%2B+x+=+1
and x%5E2+%2B+x+-+1+=+0
putting this into the quadratic formula gives the following answers:
x = %28-1+%2B-+sqrt%285%29%29%2F2
take the positive version, so the 2 numbers are: %28-1%2Bsqrt%285%29%29%2F2 and %28%28-1%2Bsqrt%285%29%29%2F2%29%2B1
jon