Question

x+y=7/2, xy=5/2, find x-y​

Answer 1

x+y=7/2, xy=5/2, find x-y

$4xy = (x + y) {}^{2} - (x -y) {}^{2} \\ = > 4 \times \frac{5}{2} - \frac{49}{4} = - (x - y) {}^{2} \\ = = > \frac{40 - 49}{4} = - (x - y) {}^{2} \\ = > \frac{ - 9}{4} = - (x - y) {}^{2} \\ = > (x - y) {}^{2} = \frac{9}{4} \\ = > (x - y) = \sqrt{ \frac{9}{4} } \\ = > (x - y) = \frac{3}{2}$