Question

If x²+y²+xy = 1 and x+y = 2.

Then find xy.
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Answer 1

Hi friend!!!!

Given, If x²+y²+xy = 1 and x+y = 2.

x+y=2

squaring on both sides, we get

x²+y²+2xy=4

(x²+y²+xy)+xy=4

1+xy=4

xy=3

I hope this will help u ;)

Answer 2

Hey there! 0⬇

Given,

x²+y²+xy = 1

(x+y)²-2xy+xy=1

Substitute x+y = 2

2²-xy=1

4-xy=1

-xy=1-4

-xy=-3

xy=3

The value of xy=3

hope helped!