Question

X-1/x=2√3. Find x+1/x

Answer 1

Answer:

Step-by-step explanation:

X-1/x=2√3. [1]

(X-1/x)²=(2√3)² {squaring Eq 1}

X²+1/x²-2.x.1/x = 12. {x. 1/x = 1 }

X²+1/x²=14

Equation 2

(X+1/x)²=x²+1/x²+2.x.1/x

(x+1/x)²=x²+1/x²+2

(X+1/x)²=14+2. [X²+1/x²=14]

(X+1/x)²=16

X+1/x = √16

X+1/x = ±4