Question

if x = 3-2√2,find the value of x²-1/x²​please solve it please.

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

24√2

Step-by-step explanation:

x=3-2√2

x²=(3-2√2)²

   =3²+2√2²-12√2          [(a-b)²=a²+b²-2ab

   =9+8-12√2

   =17-12√2

So, x²-1/x²=(17-12√2)  -  (1/17-12√2)

                =(17-12√2)  -  [17+12√2 / (17)²-(12√2)²]

                =17-12√2  -  (17+12√2 / 289-288)

                =17-12√2  -  (17+12√2/1)

                =17-12√2-17-12√2

                =24√2