Question

If x+y =7
xy=3
find x²+y²​

Answer 1

Answer:

43

Step-by-step explanation:

x²+y²

(x+y)²-2xy

7²-2*3

49-6

43

Answer 2

Answer:

x^2+y^2 = 43

Step-by-step explanation:

Given xy=3

According to the question,

x+y= 7

Squaring on both the sides, then,

(x+y)^2 = (7)^2

Using identity (a+b) ^2= a^2+ b^2+2ab,

x^2+y^2+2xy= 49

Putting the value xy=3,

x^2+y^2+2(3) = 49

x^2+y^2+6=49

x^2+y^2 = 49-6

ANSWER- x^2+y^2 = 43

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