A resolution to the NPV-IRR debate?

Two criteria for choosing between capital investment projects are net present value (NPV) and internal rate of return (IRR). Sometimes they provide inconsistent rankings. This inconsistency sparked a debate about which criterion is better. The debate has lasted more than 100 years. This paper describes a new approach to the debate. The time value of money equation is a polynomial, and a polynomial of order n does not have a single root. It has n roots. The result of taking into account the n solutions for IRR is a new equation for NPV that suggests a resolution to the debate.