Final answer:
The provided question seems to mix aspects of electrical circuit analysis and kinetic energy, but lacks a clear context or coherent information to accurately verify a transfer gain equation in a network.
Step-by-step explanation:
The question seems to involve verifying a transfer gain in a network. However, the information provided is fragmentary and appears to be a mix of equations and concepts from physics, possibly related to electrical circuits and kinetic energy. It looks like electric circuit analysis, which would likely involve Ohm's law, the concept of resistances in series and parallel, and potentially Kirchhoff's rules. It might also involve the calculation of energy in a system, which could refer to mechanical or electrical potential energy and work done by a force.
To verify a specific transfer gain equation, typically one would need a clear and coherent system or circuit, with all elements properly identified (such as resistances, voltages, currents), and a proper statement of the transfer function. Without a clear context or circuit diagram, it's not possible to verify the transfer gain formula V₂/V₁=2x+20/x²−13x+2 as stated.