Question

x + y if x - y = 2√3 and xy = 1​

Answer 1

Answer:

4

Step-by-step explanation:

(x-y) ki power 2 = x ki power 2 +y ki power 2 -2xy

 2squrt 3 *2 squrt 3  =  x ki power 2 +y ki power 2 -2 * 1

12  =  x ki power 2 +y ki power 2 - 2

so  x ki power 2 +y ki power 2 =12+ 2

  =14

now

(x+y) ki power 2 = x ki power 2 +y ki power 2 +2xy

 =  14 +2

=16

so x+y =4

Answer 2

HeYa❤️...

Answer:

$x - y = 2 \\ x = 2 + y..........(i) \\ \\ put \: value \: of \: x \: in \: 2nd \: eq. \\ xy = 1 \\ y(2 + y) = 1 \\ y = \frac{1}{2 + y} ...........(ii) \\ \\ from \: equation \: (i) \: and \: (ii) \\ = x + y \\ = 2 + y + \frac{1}{2 + y} \\ = \frac{(2 + y) {}^{2} + 1 }{2 + y} \\ = \frac{4 + y {}^{2} { + 4y {}^{} + 1}^{} }{2 + y} \\ = \frac{y {}^{2} + 4y + 5}{2 + y}$

I hOpe It HeLpS Ya!

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