SOLUTION: 1. Is there a number that 1 compares to such that that number compares to itself plus 1? 1/x = x/x+1 Find me 2 solutions (non factorable)

Question 248274: 1. Is there a number that 1 compares to such that that number compares to itself plus 1? 1/x = x/x+1
Find me 2 solutions (non factorable)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1/x = x/x+1
Cross-multiply and solve for "x":
x^2 = x+1
x^2-x-1 = 0
x = [1 +- sqrt(1-4*1*-1)]/2
---
x = [1 +- sqrt(5)]/2
--------------------------
x = (1+sqrt(5))/2 or x = (1-sqrt(5))/2
===========================================
Cheers,
Stan H.
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