Question

જો x=2 - $\sqrt{3}$ હોય તો x+ $\frac{1}{x}$ ની કિંમત કેટલી થશે?
1) 4
2) 2$\sqrt{3}$
3) 4 + $\sqrt{3}$
4) 4 - $\sqrt{3}$

Answer 1

Ans: 4

step by step procedure:

Given x = 2 - √ 3

1/x = 1/ 2 - √3 = 2 + √3 /(2 -√3)(2 + √3)

= 2 + √3 / 4 - 3

1/x = 2 + √ 3

x + 1/x = 2 - √ 3 + 2 + √ 3 = 4

Hope this solution will help you