Resolver la ecuación:
$$(x - a)^{\frac{1}{2}}(x - b)^{\frac{1}{2}} - (x - c)^{\frac{1}{2}}(x - d)^{\frac{1}{2}} = (a - c)^{\frac{1}{2}}(b - d)^{\frac{1}{2}}$$

a) $\frac{ad + bc}{a + b + c + d}$      b) $\frac{ad - bc}{a + b + c + d}$      c) $\frac{ad - bc}{a - b - c + d}$ \\
d) $\frac{ad + bc}{a - b - c + d}$      e) $\frac{ad + bc}{a - b + c - d}$