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Inespoumot
@Inespoumot
May 2019
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Ex 6 svp avec explications
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taalbabachir
Verified answer
Soit x ce nombre et l'inverse de 23/38 est 38/23
(23 - x)/(38 - x) = 38/23 ⇔ 38 *(38 - x) = 23*(23 - x)
⇔ 38² - 38 x = 23² - 23 x ⇔ 38 x - 23 x = 38² - 23²
⇔ x (38 - 23) = (38 - 23)(38 + 23) ⇒ x = 38 + 23 = 61
⇒ x = 61
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Verified answer
Soit x ce nombre et l'inverse de 23/38 est 38/23(23 - x)/(38 - x) = 38/23 ⇔ 38 *(38 - x) = 23*(23 - x)
⇔ 38² - 38 x = 23² - 23 x ⇔ 38 x - 23 x = 38² - 23²
⇔ x (38 - 23) = (38 - 23)(38 + 23) ⇒ x = 38 + 23 = 61
⇒ x = 61