Math, asked by krsaipriya, 4 months ago

If x+y = 7 & XY = 12, find x^ 2 + y ^2.​

Answers

Answered by nandini170406
1

Answer:

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your answer is

25

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Answered by patelbhavya20
0

Answer:

x + y = 12

xy = 14

Now find the value of x² + y² .

→ x² + y²

Use identity : a²+b² = (a+b)² - 2ab

→ (x+y)² - 2xy

Put values : x+y = 12 and xy = 14

→(12)² - 2×14

→ 144 - 28

→ 116 [ Answer ]

__________________

x-y = 7

xy = 9

Now find the value of x²+y² .

→ x² + y²

Use identity : a²+b² = (a-b)² + 2ab

→ (x+y)² - 2xy

Put values : x-y = 7 and xy = 9

→(7)² + 2×9

→ 49 + 18

→ 67 [ Answer ]

__________________

Some identities :-

★ (a+b)² = a² + 2ab + b²

★ (a-b)² = a² - 2ab + b²

★ a² - b² = (a+b) (a-b)

★ a²+b² = (a-b)² + 2ab

★ a²+b² = (a+b)² - 2ab

Step-by-step explanation:

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