Math, asked by Arpit993, 4 months ago

solve karo jaldi aur answer attach karo​

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Answers

Answered by BrainlyYuVa
6

Solution

Given :-

  • x² + y² = 11 _______(1)
  • xy = -1 ___________(2)

Find ;-

  • Value of x + y & x - y

Explanation

We know,

x + y = (x²+y²) + 2xy

x - y = (x² + y²)- 2xy

So,

➡ x + y = ±√[(11) + 2×-1]

➡x + y = ±√[11 - 2]

➡x + y = ±√9

➡x + y = ± 3

Now, Again,

➡ x - y = √(x² + y²) - 2xy

➡x - y = ±√[11 - 2×-1]

➡x - y = ±√[11 + 2]

➡x - y = ±√13

Hence

  • Value of x + y = ±3
  • Value of x - y = ± √13

_______________

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