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aneteclaire
@aneteclaire
January 2021
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Sans utiliser la calculatrice, trouver la valeur de a) 10005puissance2 - 9995puissance2
b) (7/4+5)puissance2-(7/4-5)puissance 2 merci beaucoup pour vos réponses
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nonotata
Bonjour
soit x = 1000
1005 = x+5
9995 = x-5 donc
1005² -9995²
(x+5)² -(x-5)²
x²+10x+25 -(x²-10x+25)
x²+10x+25-x²+10x-25
20x
20x = 20(10 000) = 20 000
(7/4+5)² -(7/4-5)²
(7/4+5-7/4+5)(7/4+5-+7/4-5)
(10)(14/4)
140/4
35
1 votes
Thanks 1
aneteclaire
Merci beaucoup, vos explications sont super claire, du coup je comprends bien le raisonnement, encore merci ☺
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soit x = 1000
1005 = x+5
9995 = x-5 donc
1005² -9995²
(x+5)² -(x-5)²
x²+10x+25 -(x²-10x+25)
x²+10x+25-x²+10x-25
20x
20x = 20(10 000) = 20 000
(7/4+5)² -(7/4-5)²
(7/4+5-7/4+5)(7/4+5-+7/4-5)
(10)(14/4)
140/4
35