Question

If x=1/2-root3,
then the value of x-1/x
is what



​

Answer 1

Answer:

=4

Step-by-step explanation:

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