Math, asked by mae2019angelicia, 6 months ago

solution by factoring
x2+6x+9=0​

Answers

Answered by avanichoudharymps
2

Explanation:

x

2

+

6

x

+

9

=

0

We can Split the Middle Term of this expression to factorise it and thereby find the solution.

In this technique, if we have to factorise an expression like  

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

N

2

=

a

c

=

1

9

=

9

AND

N

1

+

N

2

=

b

=

6

After trying out a few numbers we get  

N

1

=

3

and  

N

2

=

3

3

3

=

9

, and  

3

+

3

=

6

x

2

+

6

x

+

9

=

x

2

+

3

x

+

3

x

+

9

x

(

x

+

3

)

+

3

(

x

+

3

)

=

0

(

x

+

3

)

(

x

+

3

)

=

0

We now equate the factor to zero to obtain the solution (both factors are equal here).

x

+

3

=

0

x

=

3

is the solution.

Answered by nakul01
0

Answer:

2x+6x=(-9)

8x=(-9)

x=(-9/8)

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