Question

x2+y2=26 and xy=3 find x+y

Answer 1

Hey mate !

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Given :

x² + y² = 26

xy = 3

To find :

x + y =?

Solution :

We know that ;

(x + y)² = x² + y² + 2 xy

⇒ (x + y)² = 26 + 2 × 3

⇒ (x + y)² = 26 + 6

⇒ (x + y)² = 32

⇒ x + y = √32

⇒ x + y = 4√2

⇒ x + y = 5.65

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Thanks for the question !

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Answer 2

x^2 + y^2 = 26
( x + y )^2 - 2xy = 26
( x + y )^2 -2 ×3 = 26
( x + y )^2 - 6 = 26
( x + y )^2 = 26 + 6
( x + y )^2 = 32
x + y = √ 32
x + y = √ 2 × 2× 2 × 2 × 2
x + y = 2 × 2 √2
x + y = 4√2 Ans