Math, asked by Akhilagnair3503, 8 months ago

Q.17. If x = 3 – √8, find the value of x + 1/x.

Answers

Answered by ayesha1432
2

​  

+  

x

​  

 

1

​  

=?

⇒(  

x

​  

+  

x

​  

 

1

​  

)  

2

=x+  

x

1

​  

+2  

x

​  

(  

x

​  

 

1

​  

)

=5+2  

6

​  

+  

5+2  

6

​  

 

1

​  

+2

=5+2  

6

​  

+  

5+2  

6

​  

 

1

​  

×  

5−2  

6

​  

 

5−2  

6

​  

 

​  

+2

=7+2  

6

​  

+  

5  

2

−(2  

6

​  

)  

2

 

5−2  

6

​  

 

​  

=7+2  

6

​  

+  

25−24

5−2  

6

​  

 

​  

 

=7+2  

6

​  

+5−2  

6

​  

=12

∴  

x

​  

+  

x

​  

 

1

​  

=  

12

​  

=2  

3

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