Question

if
x = 1 + √3 and y= 1/x, then find the value of
(1) x+y
(2) x-y​

Answer 1

Answer:

1...2

2....0

.................

Answer 2

Answer:

x = 1 + √3 and y = 1/x

1) x + y

putting value we get,

1+ √3 + (1/x)

=> 1 + √3 + 1/1+√3

=> 1 + √3 (1+√3 ) + 1

1 + √3

=> 1 + √3 + √3 + 3 + 1

1+ √3

=> 2 + 2√3 + 3

1+ √3

=> 2(1+√3 ) +3

1+√3

=> 2 + 3

=> 5

2) x - y

Putting again value of x and y

1+√3 - (1/x)

=> 1 + √3 - 1/ 1+√3

=> 1 + √3 + √3 + 3 - 1

1 + √3

=> 1+ 2 + 2√3

1 + √3

=> 1 + 2(1+√3 )

1+ √3

=> 1 + 2

=> 3

Hence solved.

You can simply calculate also in form root.

Whole solution was solved by

Aaditya Singh