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Justine01234
@Justine01234
May 2019
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Merci à ceux qui m'aideront
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Bonjour,
Ex 1)
1)
3(x-2)+4 = 2-x
3x - 6 + 4 = 2 - x
3x - 2 = 2 - x
3x + x = 2 + 2
4x = 4
x = 1
2)
(x-3)² = x(x-8)
x² - 6x + 9 = x² - 8x
x² - x² - 6x + 8x = -9
2x = -9
x = -9/2
3)
(x-3)(x/3 - 5) = 0 produit facteurs nul si un facteur est nul
soit x - 3 = 0 pour x = 3
soit x/3 - 5 = 0 pour x/3 = 5 donc x = 15
4)
4x² - 25 = 0
(2x)² - 5² = 0 identité remarquable a² - b² = (a - b)(a + b)
(2x - 5)(2x + 5) = 0 produit de facteurs nuls si un facteur est nul
soit x = 5/2
soit x = -5/2
Ex 2)
MB = x - 3 et BP = 2
Aire BMNP = BP * BM = 2(x - 3) = 2x - 6
Aire ABCD = AD * CD = 7x
1) On veut que Aire ABCD = Aire BNMP + 40 soit
7x = 2x - 6 + 40
5x = 34
x = 34/5
2)
On voudrait que Aire ABCD = 2* Aire BNMP soit
7x = 2(2x - 6)
7x = 4x - 12
3x = -12
x = -12/3 = -4 impossible car valeur négative
Bonne journée
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Bonjour,Ex 1)
1)
3(x-2)+4 = 2-x
3x - 6 + 4 = 2 - x
3x - 2 = 2 - x
3x + x = 2 + 2
4x = 4
x = 1
2)
(x-3)² = x(x-8)
x² - 6x + 9 = x² - 8x
x² - x² - 6x + 8x = -9
2x = -9
x = -9/2
3)
(x-3)(x/3 - 5) = 0 produit facteurs nul si un facteur est nul
soit x - 3 = 0 pour x = 3
soit x/3 - 5 = 0 pour x/3 = 5 donc x = 15
4)
4x² - 25 = 0
(2x)² - 5² = 0 identité remarquable a² - b² = (a - b)(a + b)
(2x - 5)(2x + 5) = 0 produit de facteurs nuls si un facteur est nul
soit x = 5/2
soit x = -5/2
Ex 2)
MB = x - 3 et BP = 2
Aire BMNP = BP * BM = 2(x - 3) = 2x - 6
Aire ABCD = AD * CD = 7x
1) On veut que Aire ABCD = Aire BNMP + 40 soit
7x = 2x - 6 + 40
5x = 34
x = 34/5
2)
On voudrait que Aire ABCD = 2* Aire BNMP soit
7x = 2(2x - 6)
7x = 4x - 12
3x = -12
x = -12/3 = -4 impossible car valeur négative
Bonne journée