If (x+1/x)=6 then
1. (x-1/x)=?
2. (x²-1/x²)=?
Answers
Answered by
2
1) ( x+1/×) =6, then,
x+1 = 6x
1 = 6x - x
1 = 5x
1/5 = ×
2) x = 1/5
(x - 1/x)
(1/5 - 1 / 1/5)
(-4/5)/(1/5)
-4×5/1×5 = -4
3) (x^2 - 1/x^2)
((1/5)^2 - 1/(1/5)^2)
(1/25 - 1/ 1/25)
(-24/25)(1/25)
-24× 25 / 1× 25 = -24
x+1 = 6x
1 = 6x - x
1 = 5x
1/5 = ×
2) x = 1/5
(x - 1/x)
(1/5 - 1 / 1/5)
(-4/5)/(1/5)
-4×5/1×5 = -4
3) (x^2 - 1/x^2)
((1/5)^2 - 1/(1/5)^2)
(1/25 - 1/ 1/25)
(-24/25)(1/25)
-24× 25 / 1× 25 = -24
Similar questions