Question

If x=2+√3 find out the value of x2-1/x2​

Answer 1

Answer:

x = 2+√3

1/x = 2-√3

x+1/x = 2+√3+2-√3 = 4

x²+1/x² = 4²-2 = 14

subtracting 2 both sides we get,

x²+1/x² -2 = 12

(x-1/x)² = 12

x-1/x = √12 = 2√3

now,

(x²-1/x²) = (x+1/x)(x-1/x)

putting both values we get,

(x²-1/x²) = 4*2√3 = 8√3 (Ans)

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Answer 2

Answer:

yes

Step-by-step explanation:

(x²-1/x²) = 4*2√3 = 8√3