Math, asked by rollyk222, 10 months ago

51. If x+y=9 and xy = 12, then find the
value of x2 + y2​

Answers

Answered by sonisiddharth751
2

Answer:

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Answered by pulakmath007
1

If x + y = 9 and xy = 12 then + y² = 57

Given :

x + y = 9 and xy = 12

To find :

The value of x² + y²

Formula :

(x + y)² = x² + 2xy + y²

Solution :

Step 1 of 2 :

Write down the given values

Here it is given that x + y = 9 and xy = 12

Step 2 of 2 :

Find the value of x² + y²

(x + y)² = x² + 2xy + y²

⇒ 9² = x² + y² + 2xy

⇒ 81 = x² + y² + ( 2 × 12 )

⇒ 81 = x² + y² + 24

⇒ x² + y² = 81 - 24

⇒ x² + y² = 57

Hence the value of x² + y² = 57

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