Question

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Answer 1

Answer:

(4-√15)^2 + 1/(4-√15)^2

16-15 + 1/16-15

1+1/1

by calculating lcm we get

1/1+1/1

1+1/1

2/1

Answer 2

Answer:

x=4-√15

1/x=1/(4-√15)=1×(4+√15)/{(4-√15)(4+√15)}

=4+√15)/{4^2-(√15)^2}

=(4+√15)/(16-15)

=4+√15

(x^2+1/x^2)={x^2+1/x^2+2.x.(1/x)}-2.x.1/x

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

put the values of x and 1/x

=(4-√15+4+√15) -2

=8-2=6 Ans