Question

find x=2-root 3 find x+1/x​

Answer 1

Answer:

x = 2 + √3

1/x = 1/(2 + √3) * (2 - √3)/(2 - √3)

1/x = (2 - √3)/(4 - 3)

[ (a - b)(a + b) = (a² - b²) ]

1/x = (2 - √3)

now,

x + 1/x = (2 + √3) + (2 - √3)

x + 1/x = 2 + 2 + √3 - √3

x + 1/x = 4

Answer 2

Step-by-step explanation:

x= 2-√3

x+1/x

2-√3+1/2-√3. ( by taking LCM

then 7-4√3.+ 1

——–·–––

2-√3

= 7+1 -4√3

—–—–—

2-√3

= 8- 4√3 { by solving the equation

-----------------.

2-√3.

hence x= 4