Question

if x+1/x=√5 find the value of x+1/x and x²+1/x²​

Answer 1

square both sides and apply the formula of (a+b)²=a²+b²+2ab

u will get

x²+1/x²+2=5

therefore x²+1/x²=5-2=3

Answer 2

Solution: 23

Step by step explanation:

(x+1/x) = 5

(x+1/x)^2 = 25

= x^2 + 1/x^2 + 2 * x * 1/x = 25

= x^2 + 1/x^2 + 2 = 25

= x^2 + 1/x^2 = 25 - 2 =23

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