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Home » Racines : \(x = 2\) et \(x = 3\) - DNSFLEX

Racines : \(x = 2\) et \(x = 3\) - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 5y + 4 = 6

📌 y = \frac{2}{5}

📌 Substituez de nouveau pour trouver \( x \):

📌 x = \frac{2}{5} + 2 = \frac{2}{5} + \frac{10}{5} = \frac{12}{5}

📌 #### \(\frac{12}{5}, \frac{2}{5}\)

📌 Question:** Trouvez la valeur de \( x \) si \( \log_2(x) + \log_2(8) = 5 \).

📌 Solution:** Utilisez la propriété \(\log_b(a) + \log_b(c) = \log_b(ac)\):

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We start with the given equations:
x + y = 100
x^2 + y^2 = 5200
Plugging in the known values:
100^2 = 5200 + 2xy
= 5200 + 2xy
2xy = 4800 \quad \Rightarrow \quad xy = 2400
Now, we use another identity for cubes:
We already know \( x + y = 100 \), \( x^2 + y^2 = 5200 \), and \( xy =...
x^2 - xy + y^2 = 5200 - 2400 = 2800

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