Consider the below mentioned equation: ax^4+ by^4+ cz^4+ dw^4 = 0-----(1) In section (A) we consider solution’s with the condition on the coefficient’s of equation (1). Namely the product (abcd)=square. In section (B) we consider the coefficients of equation (1), with the product of coefficient’s (abcd) not equal to a square. Historically equation (1) has been studied by Ajai Choudhry, A. Bremner, M.Ulas (ref. 5) in 2014. Also Richmond (ref. 1 & 2) has done some ground work in 1944 & 1948. This paper has gone a step further, by finding many parametric solutions & new small numerical solutions by the use of unique Identities. The identities are unique, because they are of mixed powers(combination of quartic & quadratic variables) which are then converted to only degree four identities. As an added bonus in section (B), we came up with a few quartic (4-1-n ) numerical solutions for ( n < 50) by elliptical mean’s. A table of numerical solutions for the(4-1-n)equation arrived at by brute force computer search is also given (ref 7)