Question

x^2+y^2=202 and x-y=2 then xy=​

Answer 1

Answer:

Step-by-step explanation:

$\large \sf x-y=2$

$\large \sf (x-y)^2=(2)^2$

$\large \sf x^2-2xy+y^2=4$

$\large \sf x^2+y^2-2xy=4$

$\large \sf 202-2xy=4$

$\large \sf 202-4=2xy$

$\large \sf 198=2xy$

$\large \sf xy=\dfrac{198}{2}$

$\large \sf xy=99$