Asian Journal of Mathematics & Statistics1994-54182077-2068Asian Network for Scientific Information10.3923/ajms.2011.186.199S. IwuezeIheanyiOhakweJohnson4201144In this study, we determined the necessary and sufficient conditions on the coefficients of a quadratic equation such that its square root transformation remains approximately a quadratic equation or exactly a linear equation. Numerical examples are used to illustrate the results obtained.]]>Akpanta, A.C. and I.S. Iwueze,2009Bartlett, M.S.,1947Biu, O.E.,2010Box, G.E.P. and D.R. Cox,1964Budd, C. and C. Sangwin,2004Budd, C. and C. Sangwin,2004Chauhan, O.P., P.S. Raju, D.K. Dasgupta and A.S. Bawa,2006Draper, N.R. and H. Smith,1981Graybill, F.A. and H.K. Iyer,1994Iwueze, I.S. and A.C. Akpanta,2007Iwueze, I.S., A.C. Akpanta and H.C. Iwu,2008Wooten, R.D. and C.P. Tsokos,2010