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Laura1301
@Laura1301
April 2019
2
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Est ce que vous pouvez m'aidez je n'ai rien compris svp
a partir de cette expression
(x-6)²-(x-4)(x-9)
sans utiliser de calculatrice donne le résultat de 124 124 124 118²- 124 124 124 120 * 124 124 124 115
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Verified answer
Bonjour,
(x-6)²-(x-4)(x-9)
x²-12x+6-(x²-9x-4x+36) =
x²-12x+36-x²+9x+4x-36 =
x
124 124 124 118²- 124 124 124 120 * 124 124 124 115 =
(x-6)²-(x-4)(x-9) =x
x= 124 124 124 124
124 124 124 118²- 124 124 124 120 * 124 124 124 115=
x= 124 124 124 124
2 votes
Thanks 1
Commentaires
Bonjour ,
* on développe :
(x-6)² - (x-4) (x-9)
= x² + 6² - 12x - (x² - 9x - 4x + 36 )
= x² + 36 -12x - x² + 9x + 4x - 36
= -12x + 13x
=
x
(x-6)² - (x-4) (x-9) = 124 124 124 118² - 124 124 124 120 × 124 124 124 115
x = 124 124 124 118² - 124 124 124 120 × 124 124 124 115
x = 124 124 124 118² - 124 124 124 13800
x = 124 124 124
13924
- 124 124 124
13800
x = 124 124 124 124
0 votes
Thanks 1
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Verified answer
Bonjour,(x-6)²-(x-4)(x-9)
x²-12x+6-(x²-9x-4x+36) =
x²-12x+36-x²+9x+4x-36 =
x
124 124 124 118²- 124 124 124 120 * 124 124 124 115 =(x-6)²-(x-4)(x-9) =x
x= 124 124 124 124
124 124 124 118²- 124 124 124 120 * 124 124 124 115=
x= 124 124 124 124
* on développe :
(x-6)² - (x-4) (x-9)
= x² + 6² - 12x - (x² - 9x - 4x + 36 )
= x² + 36 -12x - x² + 9x + 4x - 36
= -12x + 13x
= x
(x-6)² - (x-4) (x-9) = 124 124 124 118² - 124 124 124 120 × 124 124 124 115
x = 124 124 124 118² - 124 124 124 120 × 124 124 124 115
x = 124 124 124 118² - 124 124 124 13800
x = 124 124 124 13924 - 124 124 124 13800
x = 124 124 124 124