 When the monic quadratic equation with real coefficients is of the form "x"2 = "c", the general solution described above is useless because division by zero is not well defined.As long as "c" is positive, though, it is always possible to transform the equation by subtracting a perfect square from both sides and proceeding along the lines illustrated with above.In symbols, if

just choose some positive real number "p" such that

Then by direct manipulation we obtain

and this transformed continued fraction must converge because all the partial numerators and partial denominators are positive real numbers.