Question

if x+1/x then value of x^37+x^35+x^39+x^34+x^32+x^36+5​

Answer 1

Answer:

=2*(x³⁷+x³⁴) +5

Step-by-step explanation:

x+1/x=3

squaring

x²+1/x²+2=3

x²+1/x²=1...................(1)

Now

x³⁷+x³⁵+ x³⁹+x³⁴+x³²+x³⁶+5

=(x³⁹+x³⁵)+(x³²+x³⁶)+(x³⁷+x³⁴) +5

=x³⁷(x²+1/x²)+x³⁴(x²+1/x²)+(x³⁷+x³⁴) +5

=x³⁷*1+x³⁴*1+x³⁷+x³⁴ +

=2*(x³⁷+x³⁴) +5