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beatricesauzay
@beatricesauzay
June 2021
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winner123
Verified answer
Bonsoir
1) E = 6 x + 14 - 15 x² - 35 x - 4 + 25 x²
E = 10 x² - 29 x + 10
2) 4 - 25 x² = ( 2 + 5 x) ( 2 - 5 x)
3) ( 2 - 5x ) ( 3 x + 7) - ( 2 x 5 x) ( 2 +5 x)
( 2 - 5 x ) ( 3 x + 7 - 2 - 5 x)
( 2 - 5 x) ( - 2 x + 5)
4) ( 2 - 5x ) ( - 2 x + 5) = 0
soit
2 - 5 x = 0
- 5 x = - 2
x = 2/5
soit - 2 x + 5 = 0
- 2 x = - 5
x = 5/2
5)
pour x = 0
E = 2 x 5 = 10
pour = - 1/2
e = ( ( 2 - 5 ( - 1/2) ( - 2( -1/2) + 5)
e = ( - 2 + 5/2) ( 2/2 + 5)
e = ( - 4/2 + 5/2) ( 2/2 + 10/2)
e = 1/2 x 12/2
e = 12/4
e = 3
pour x = √2
e = ( 2 - 5√2) (- 2√2 +5)
e = - 4√2 + 10 + 10 √2 - 25√2
e = 10 - 19√2
0 votes
Thanks 1
maudmarine
Verified answer
1)
Développer puis réduire E
E = (2 - 5x) (3x + 7) - (4 - 25x²)
E = 6x + 14 - 15x² - 35x - 4 + 25x²
E = - 15x² + 25x² + 6x - 35x + 14 - 4
E = 10x² - 29x + 10
2)
Décomposer F = 4 - 25x²
F = 4 - 25 x²
F = (2 + 5x) (2 - 5x)
3)
En déduire une écriture de E
E = (2 - 5x) (3 x + 7) - (2 - 5x) (2 + 5x)
E = (2 - 5x) (3x + 7 - 2 - 5x)
E = (2 - 5x) (- 2x + 5)
4)
Résoudre l'équation E = 0
E = (2 - 5x) (- 2x + 5) = 0
2 - 5x = 0
- 5x = - 2
- x = - 2/5
x = 2/5
x = 0,4
et
- 2x + 5 = 0
- 2x = - 5x
- x = - 5/2
x = 5/2
x = 2,5
5)
Calculer la valeur exacte de E lorsque :
a)
x = 0
E = (2 - 5x) (- 2x + 5)
E = (2 - 5 * 0) (- 2 * 0 + 5)
E = (2) / (5)
E = 10
b)- 1/2
E = (2 - 5x) (- 2x + 5)
E = (2 - 5 * - 1/2) (- 2 * - 1/2 + 5)
E = (- 2 + 5/2) (2/2 + 5)
E = (- 4/2 + 5/2) (2/2 + 10/2)
E = 1/2 * 12/2
E = 12/4
E = 4 x 3 / 4 x 1
E = 3
c)
x = √2
E = (2 - 5x) (- 2x + 5)
E = ( 2 - 5√2) (- 2√2 + 5)
E = - 4√2 + 10 + 10√2 - 25√2e
E = 10 - 19√2
0 votes
Thanks 1
beatricesauzay
pour le 5 petit b les etoiles correspod a quoi merci
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Verified answer
Bonsoir1) E = 6 x + 14 - 15 x² - 35 x - 4 + 25 x²
E = 10 x² - 29 x + 10
2) 4 - 25 x² = ( 2 + 5 x) ( 2 - 5 x)
3) ( 2 - 5x ) ( 3 x + 7) - ( 2 x 5 x) ( 2 +5 x)
( 2 - 5 x ) ( 3 x + 7 - 2 - 5 x)
( 2 - 5 x) ( - 2 x + 5)
4) ( 2 - 5x ) ( - 2 x + 5) = 0
soit
2 - 5 x = 0
- 5 x = - 2
x = 2/5
soit - 2 x + 5 = 0
- 2 x = - 5
x = 5/2
5)
pour x = 0
E = 2 x 5 = 10
pour = - 1/2
e = ( ( 2 - 5 ( - 1/2) ( - 2( -1/2) + 5)
e = ( - 2 + 5/2) ( 2/2 + 5)
e = ( - 4/2 + 5/2) ( 2/2 + 10/2)
e = 1/2 x 12/2
e = 12/4
e = 3
pour x = √2
e = ( 2 - 5√2) (- 2√2 +5)
e = - 4√2 + 10 + 10 √2 - 25√2
e = 10 - 19√2
Verified answer
1) Développer puis réduire EE = (2 - 5x) (3x + 7) - (4 - 25x²)
E = 6x + 14 - 15x² - 35x - 4 + 25x²
E = - 15x² + 25x² + 6x - 35x + 14 - 4
E = 10x² - 29x + 10
2) Décomposer F = 4 - 25x²
F = 4 - 25 x²
F = (2 + 5x) (2 - 5x)
3) En déduire une écriture de E
E = (2 - 5x) (3 x + 7) - (2 - 5x) (2 + 5x)
E = (2 - 5x) (3x + 7 - 2 - 5x)
E = (2 - 5x) (- 2x + 5)
4) Résoudre l'équation E = 0
E = (2 - 5x) (- 2x + 5) = 0
2 - 5x = 0
- 5x = - 2
- x = - 2/5
x = 2/5
x = 0,4
et
- 2x + 5 = 0
- 2x = - 5x
- x = - 5/2
x = 5/2
x = 2,5
5) Calculer la valeur exacte de E lorsque :
a) x = 0
E = (2 - 5x) (- 2x + 5)
E = (2 - 5 * 0) (- 2 * 0 + 5)
E = (2) / (5)
E = 10
b)- 1/2
E = (2 - 5x) (- 2x + 5)
E = (2 - 5 * - 1/2) (- 2 * - 1/2 + 5)
E = (- 2 + 5/2) (2/2 + 5)
E = (- 4/2 + 5/2) (2/2 + 10/2)
E = 1/2 * 12/2
E = 12/4
E = 4 x 3 / 4 x 1
E = 3
c) x = √2
E = (2 - 5x) (- 2x + 5)
E = ( 2 - 5√2) (- 2√2 + 5)
E = - 4√2 + 10 + 10√2 - 25√2e
E = 10 - 19√2