This paper brings to light a method based on Multiphase algorithm for single
variable equation using Newton's correction. Newton's method is derived through the
logarithmic differentiation of polynomial equation. A correction term which enhances
the high speed of convergence is hereby introduced. A translation of Newton's method
to Total Step and Single Step Methods (T. S. M and S. S. M) respectively, forms the
peak of discussion. Our method, so derived, is also discussed in the light of numerical