MathDB

1

Part of 1965 German National Olympiad

Problems(1)

\sqrt{p+x}+\sqrt{p-x}= x

Source: Germany 1965 p1

2/21/2020
For a given positive real parameter pp, solve the equation p+x+p−x=x\sqrt{p+x}+\sqrt{p-x }= x.
parameterequationalgebra