Question

The value of
x² + y2 if x - y = 3; xy = 10​

Answer 1

Answer:

Given that: x−y=3 And xy = 10

Using the given identity: (a−b)  

2  = a 2 −2ab+b  2

 

So, (x−y)  2= x  2  −2xy+y 2

 

⇒ (x−y)  2  = x  2 −2(10)+y 2

 

⇒ (3)  2 = x  2  −20+y 2

 

⇒ 9 = x 2 +y 2 −20

⇒ 9+20 =x 2  +y  2

 

⇒ x  2  +y  2   = 29

The correct answer is x  2  +y  2 =29

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