The 2^(nd) term of a Geometric Progresion
(G.P) is equal to the 8^(th) term of an Arithmetic
Progresion (A.P). The first terms, common
difference and common ratio are all equal
and non−zero. Find the sum of the first five
terms of the Geometric Progresion(G.P)
solve the follwing equation
x(√(x )) + y(√(y )) = 3 and x(√(y )) + y(√(x )) = 2
someone solve the above equations in the following way
x^3 + y^3 + 2xy(√(xy )) = 9.....(1) and x^2 y + y^2 x + 2xy(√(xy )) = 4......(2)
(1) − (2) ⇒ (x − y)(x^2 − y^2 ) = 5
hence x = 3 and y = 2 which is obiviusly does not satisfy the
original equations.
where is the fallacy in the above solution? Please explain.