Question

please give this answer it is urgent

Answer 1

√{ y + √(2xy - x²)} + √{y -√(2xy - x²) = √(2x)

take square of both sides ,

[√{y + (2xy -x²)} + √{y -√(2xy - x²)}]² =(√(2x))²

y + √(2xy - x²) + y - √(2xy - x²) + 2√{y - √(2xy - x²)}√{y + √(2xy - x²)} = 2x

2y + 2√{ y² - (√(2xy - x²))2 } = 2x

2y + 2√(y² - 2xy + x²) = 2x

2y + 2√(x - y)² = 2x

2y + 2| (x - y)| = 2x

but question ask x > y
so, |(x - y)| = (x - y)

2y + 2(x - y) = 2x

2y + 2x -2y = 2x

2x = 2x

LHS = RHS