SOLUTION: The golden ratio was used in ancient Greek architecture. The sides of a rectangle are in the Golden Ratio when "the ratio of the long side to the short side equals the ratio of the

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Question 923941: The golden ratio was used in ancient Greek architecture. The sides of a rectangle are in the Golden Ratio when "the ratio of the long side to the short side equals the ratio of the sum of the long and short sides to the long side."
If the short side of a rectangle is 1 cm then find the length of the long side. Leave your answer as an irrational number.
My answer so far:
X/1 = (x+1)/x
X2 (x squared) - x -1=0
I don't know how to get to the irrational number that the question is requesting.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The golden ratio was used in ancient Greek architecture. The sides of a rectangle are in the Golden Ratio when "the ratio of the long side to the short side equals the ratio of the sum of the long and short sides to the long side."
If the short side of a rectangle is 1 cm then find the length of the long side. Leave your answer as an irrational number.
My answer so far:
X/1 = (x+1)/x
X2 (x squared) - x -1=0
at this point use the quadratic formula to solve for x
x+=+%28-%28-1%29+%2B-+sqrt%28-1%5E2-4%2A1%2A-1+%29%29%2F%282%2A1%29+
x+=+%281+%2B-+sqrt%281%2B4+%29%29%2F2+
two solutions, both irrational numbers
x+=+%281+%2B+sqrt%285%29%29%2F2+
and
x+=+%281+-+sqrt%285%29%29%2F2+