Question

x+y=6, xy=10, x² +y²=?​

Answer 1

Answer:

52

Step-by-step explanation:

Given: x-y=6 and xy=8

Then:

(x-y)²=6²

x²-2xy+y²=36

x²+y²=36+2xy

=36+2(8)

=36+16

=52 …………….

Answer 2

Answer:

Ans is 29 .

step by step explaination:

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