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Zielflug [23.3K]
3 years ago
13

X2+6x-9=0 what are the zeros

History
1 answer:
Basile [38]3 years ago
5 0

Réponse:

x  

=  

-  

3

Explication:

x  

2

+

6

x

+

9

=

0

Nous pouvons diviser le moyen terme de cette expression pour la factoriser et ainsi trouver la solution.

Dans cette technique, si nous devons factoriser une expression comme  

a  

x  

2

+  

b  

x  

+  

c

, nous devons penser à 2 nombres tels que:

N  

1

⋅

N  

2

=

a

⋅

c

=

1

⋅

9

=

9

ET

N  

1

+

N  

2

=

b

=

6

Après avoir essayé quelques chiffres, nous obtenons  

N  

1

=

3

et  

N  

2

=

3

3  

⋅  

3  

=  

9

, et  

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

Nous associons maintenant le facteur à zéro pour obtenir la solution (les deux facteurs sont égaux ici).

x  +  3  =  0

x  = -  3  est la solution.

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