Question

x=root 3 +1/root 3 -1


y=root 3 -1/root 3 + 1


find x square +y square +xy​

Answer 1

Answer:

answer is 15

Step-by-step explanation:

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Answer 2

Answer:

x²= (root 3 + 1)²/ (root 3-1)(root3+1)

=> 3+1+2 root 3/ 3-1

=> 4+2 root 3/ 2

=> 2(2+ root 3) /2

=> 2+ root 3

y² = (root 3-1)²/ (root 3+1)(root 3-1)

=> 3+1-2 root 3 / 3-1

=> 4- 2 root 3/ 2

=> 2(2- root 3)/ 2

=> 2- root3

xy = (root 3+1)(root 3 - 1)/ (root 3-1)(root 3 +1)

=> 3-1/3-1

=>2/2=1

So, x²+ y² + xy = 2+root3 + 2- root3 +1

= 2+2+1 = 5.

Hence the answer is 5.

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