Question

If x-1/x-8 find the value of x+2+1/x^2

Answer 1

Answer:

(k+n)(k-n)=96

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.96 can be factorized as 2×48

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.96 can be factorized as 2×484×24

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.96 can be factorized as 2×484×246×16

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.96 can be factorized as 2×484×246×168×12

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.96 can be factorized as 2×484×246×168×12The smaller factor =k−n and the bigger factor =k+n

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.96 can be factorized as 2×484×246×168×12The smaller factor =k−n and the bigger factor =k+nHence, the values of (n,k) are (23,25),(10,14),(5,11),(2,10)

(k+n)(k-n)=96Both k,n must have the same parity. Hence we will try to find two factors of 96 such that both are even.96 can be factorized as 2×484×246×168×12The smaller factor =k−n and the bigger factor =k+nHence, the values of (n,k) are (23,25),(10,14),(5,11),(2,10)Hence, there are 4 possible values of n.