Question

solve the equation: X/p +p = X/q +q​

Answer 1

$\frac{x}{p} + p = \frac{x}{q} + q \\ \\ \frac{x + {p}^{2} }{p} = \frac{x + {q}^{2} }{q} \\ \\ q(x + {p}^{2} ) = p(x + {q}^{2} ) \\ x q + q {p}^{2} = px + p {q}^{2} \\ xq - xp + {p}^{2} q - p {q}^{2} = 0$