Question

1
if x + -
1 = 5
X-
and r2
x2
х
х​

Answer 1

Answer:

Ans: x²+1/x²=3 and x-1/x=±1

Step-by-step explanation:

x+1/x=√5

squaring both sides

x²+1/x²+2*x*1/x=5

x²+1/x²=5-2=3

*************************

We know that

(x+1/x)²-(x-1/x)²=4*x*1/x

(√5)²-(x-1/x)²=4

(x-1/x)²=5-4=1

Thus  (x-1/x)=±1

Answer 2

Answer:

x² + 1/x² = 3 and x - 1 /x = ±1

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