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Katt
@Katt
April 2019
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Merci de tout détailler, calcul + étapes .. C'est pour un dm de maths & je ne comprends vraiment rien.. Merci beaucoup d'avance!!
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clemelle
1. Puisque ABCD est un carré, AB = BC = 4, donc AH = AB – BH = 4 – x. 2.
a= aire
a = aAHIJ – aAEFG = (4 – x)2 – 22 = (4 – x)2 – 4. 3.
Développer et réduire l’expression : Q = (4 – x)2 – 4. Q = 42 – 2 4x + x2 – 4 = 16 – 8x + x2 – 4 = x2 – 8x + 12. 4.
Factoriser l’expression Q. Q = (4 – x)2 – 22 = [(4 – x) + 2] [(4 – x) – 2] = (6 – x)(2 – x).
5. Q = (6 – 2)(2 – 2) = 0.
Lorsque x = 2, les points H et E sont confondus, ainsi que les points F et I et les points G et J : il n’y a plus de zone violette !
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a= aire
a = aAHIJ – aAEFG = (4 – x)2 – 22 = (4 – x)2 – 4. 3.
Développer et réduire l’expression : Q = (4 – x)2 – 4. Q = 42 – 2 4x + x2 – 4 = 16 – 8x + x2 – 4 = x2 – 8x + 12. 4.
Factoriser l’expression Q. Q = (4 – x)2 – 22 = [(4 – x) + 2] [(4 – x) – 2] = (6 – x)(2 – x).
5. Q = (6 – 2)(2 – 2) = 0.
Lorsque x = 2, les points H et E sont confondus, ainsi que les points F et I et les points G et J : il n’y a plus de zone violette !