Question 14
a and b are real numbers. Find real $x$ and $y$ satisfying:
$$(x - y)(x^2 - y^2)^{1/2} = a(1 - x^2 + y^2)^{1/2}$$
and
$$(y - x)(x^2 - y^2)^{1/2} = b(1 - x^2 + y^2)^{1/2}.$$
$$(x - y)(x^2 - y^2)^{1/2} = a(1 - x^2 + y^2)^{1/2}$$
and
$$(y - x)(x^2 - y^2)^{1/2} = b(1 - x^2 + y^2)^{1/2}.$$