Math, asked by panda5127, 1 month ago

3x² +3<3
solve x..? ​

Answers

Answered by writetopush
0

Explanation:

It is easy to see by inspection that  

x

=

1

satisfies the equation :

(

1

)

3

3

×

(

1

)

2

=

1

+

3

2

=

0

To find the other roots let us rewrite  

x

3

3

x

2

keeping in mind that  

x

+

1

is a factor:

x

3

3

x

2

=

x

3

+

x

2

x

2

x

2

x

2

   

   

=

x

2

(

x

+

1

)

x

(

x

+

1

)

2

(

x

+

1

)

   

   

=

(

x

+

1

)

(

x

2

x

2

)

   

   

=

(

x

+

1

)

(

x

2

+

x

2

x

2

)

   

   

=

(

x

+

1

)

{

x

(

x

+

1

)

2

(

x

+

1

)

}

   

   

=

(

x

+

1

)

2

(

x

2

)

Thus, our equation becomes

(

x

+

1

)

2

(

x

2

)

=

0

which obviously has roots  

1

,

1

,

2

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