Question

if x = 3 + 2√2 find the value x - (1/x)​

Answer 1

Answer:

योग्य पर्याय आहे

अ

± 2

x=3+2

2

⇒

x

1

=

3+2

2

1

⇒

x

1

=

3+2

2

1

×

( ३-2

2

)

( ३-2

2

)

=

( ३

2

-( २

2

)

2

)

3+2

2

=

9-8

3-2

2

=3-2

2

∴x+

x

1

=3+2

2

+3-2

2

⇒x+

x

1

=6⇒x+

x

1

-2=6-2⇒

⎝

⎛

(

x

)

2

+(

x

1

)

2

-2×

x

×

x

1

⎠

⎞

=4

⇒(

x

-

x

1

)

2

=4⇒

x

-

x

1

=±

4

=± 2