Question

x² + y2 = 14 and xy = 5, Find the value of (x + y)² ​

Answer 1

Answer:

24

Step-by-step explanation

x2 + y2 = 14

Formula of a2 + b2 = [a+b]2 - 2ab

Hence we can write the given question as,

[ x + y ]2 - 2 xy = 14

given that xy = 5

[ x + y]2 - 2 x 5 = 14

[x + y]2 - 10 = 14

[x+y]2 = 14 + 10

[ x + y ]2 = 24

Answer 2

$\large\boxed{Hello\:Mate}$

Answer:

(x + y)² = 24

Step-by-step explanation:

Given,

x² + y² = 14

xy = 5

(x + y)² = ?

→ (x + y)² = x² + y² + 2xy          [∵  a² + b² + 2ab]

⇒ (x + y)² = 14 + 2(5)

⇒ (x + y)² = 24

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