Question

If x=4-√15 then find value of x+1/x

Answer 1

Step-by-step explanation:

X+1/x=(4-15^1/2)+(1/4-15^1/2)

rationalising denominator in second term,we get self in term as (4+15^1/2)/16-15=4+15^1/2

therefore,

x+1/x=(4-15^1/2)+(4+15^1/2)

=4+4=8

x+1/x=8