Question

The value of x = 2-√5, then value of x + 1/x will be a) 0 b) 4 c) -2√5 d) 9 *

Answer 1

Answer:

Step-by-step explanation:

Here,

x=2-√5

So, 1/x=1/(2-√5)

1/x={1/(2-√5)}×{(2+√5)/(2+√5)

1/x=(2+√5)/(4-5)

1/x=(2+√5)/-1

1/x= -2-√5

Therefore,

x+1/x=2-√5+(-2-√5)

=2-√5-2-√5

=-2√5