Question

if ( x+1/x) = 12 find the value of (x-1/x)​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

✏Given here

↪x + 1/x = 12.......(1)

✏Find here

↪x - 1/x = ?

[ we know thats ]

(x + 1/x )² = x² + 1/x² + 2

=> 12 ² = x² +1/x² +2

=> x ² + 1/x² = 144-2

=> x² +1/x² = 142........(2)

Now ,

(x - 1/x) ² = x ² + 1/x² -2

= 142-2 [ by (2) ]

= 140.

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