If $$x^2 + y^2 = 0.1$$ and |x-y|=0.2, then |x|+|y| is equal to:
$$(x - y)^2 = x^2 + y^2 - 2xy$$
$$0.04 = 0.1 - 2xy => xy = 0.03$$
So, |xy| = 0.03
$$(|x| + |y|)^2 = x^2 + y^2 + 2|xy| = 0.1 + 0.06 = 0.16$$
So, |x|+|y| = 0.4
Create a FREE account and get: