Math, asked by sanrajsingh5106, 11 months ago

. If x + y = 3, x^2 + y^2 = 5 then xy is

Answers

Answered by purplemask
3

Answer:

2

Step by step:

x+y=3

squaring both sides;

(x+y)^2=3^2

x^2+y^2+2xy=9     [ (a+b)^2=a^2+b^2+2ab]

5+2xy=9

2xy=9-5

2xy=4

xy=4/2

xy=2

Answered by manjubala39
2

Hey mate!!!

We are given

x + y = 3

and

{x}^{2} + {y}^{2} = 5

we have to find XY

so by using

(x + y) {}^{2} = {x}^{2} + {y}^{2} + 2xy

we have

(x + y) {}^{2} = {x}^{2} + {y}^{2} + 2xy \\ = > (3) {}^{2} = 5 + 2xy \\ 2xy + 5 = 3 {}^{2} \\ 2xy + 5 = 9 \\ 2xy = 9 - 5 \\ 2xy = 4 \\ xy = 4 \div 2 \\ xy = 2

XY = 2

Hope it helps dear friend ☺️✌️✌️

Similar questions