Question

ifx+y=3,x^2+y^2=5,then xy is​

Answer 1

Answer:

2

Step-by-step explanation:

(x+y)^2 = x^2+ y^2+ 2xy.

3^2 = 5+ 2xy

2xy = 4

xy = 2.

Answer 2

${Here \:is\: your\: Answer}$

$given \: \: \: x + y = 3 \: \: \: and \: \: x {}^{2} + y {}^{2} = 5 \\ \\ x + y = 3 \\ squaring \: on \: both \: sides \\ \\ (x + y) {}^{2} = 3 {}^{2} \\ \\ x {}^{2} + y {}^{2} + 2xy = 9 \\ \\ x {}^{2} + y {}^{2} - 9 = - 2xy \\ \\ 5 - 9 = - 2xy \\ \\ - 4 = - 2xy \\ \\ xy = \frac{4}{2} \\ \\ xy = \frac{2 \times 2}{2} \\ \\ xy = 2$