title: Finding The Radix of A Quadratic Equation
body: <p>I have found previous solutions to finding the radix of a quadratic equation, where both of the provided roots return the same radix or base. However, unless I am some type of arithmetic error of which I am not aware, currently I am obtaining two different bases neither of which satisfy my required conditions.</p>
  
  <p>The problem statement and all variables are as follows:</p>
  
  <p>Given x^2 - 11x + 29 = 0 with the solutions x = 4 and x = 8, find the radix of the equation.</p>
  
  <p>I found with x = 4 -> radix = 21/2. This provides the correct root of x = 4, but the second root is not quite equal to the desired value of 8.</p>
  
  <p>Similarly with x = 8 -> radix = 65/6, which again gives the one desired root this time of 8, and a second root which is less than four. </p>
  
  <p>I'm wondering if perhaps I am to combine these two radixes in some manner, or if I have made an arithmetic error as I have tried this problem over and over, each time obtaining the same two radixes. </p>