Question

if X=4-√15 find the value of (x+1÷x)​

Answer 1

Answer:

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

not sure!

Answer 2

Answer:

∴ x+1/x = 8

Step-by-step explanation:

Given,

x = 4-√15

x+1/x = ?

Now,

x+1/x = (4-√15)+1/(4-√15)  

        = [(4-√15)²+1]/(4-√15)

        = (16-8√15+15+1)/(4-√15)

        = (32-8√15)/(4-√15)

        = 8(4-√15)/(4-√15)

        = 8