Question

if x^2 + 1/x^2 = 27
then find
i) x + 1/x
ii) x - 1/x​

Answer 1

hey mate

here is the answer

Answer:

x²+1/x²=27

(adding 2 on both sides)

x²+1/x²+2=27+2

(x+1/x)²=29

(taking sq roots on both sides)

x+1/x=±√29. (answer)

also

x²+1/x²=27

(subtracting 2 from both sides)

x²+1/x²-2=27-2

(x-1/x)²=25

(taking square root on both sides)

x-1/x=±5. (answer )