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Home » From first: \(3y = 2z = 2(3x) = 6x \Rightarrow y = 2x\) - Dyverse

From first: \(3y = 2z = 2(3x) = 6x \Rightarrow y = 2x\) - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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🔥 Popular Posts

Solve: \(x = 1.5\).
Substitute back to find \(y\): \(y = 4(1.5) - 5 = 1\).
#### \(x = 1.5\), \(y = 1\)
If the sum of the first \(n\) natural numbers is given by \(\frac{n(n+...
Set up the equation: \(\frac{n(n+1)}{2} = 210\).
Multiply by 2: \(n(n+1) = 420\).
Solve \(n^2 + n - 420 = 0\) using the quadratic formula:
\(n = \frac{-1 \pm \sqrt{1 + 1680}}{2} = \frac{-1 \pm 41}{2}\).
The positive solution is \(n = 20\).
A triangle has sides of lengths 7, 24, and 25. Verify if it is a right...

📝 Recent Posts

setzen wir die Vieta’schen Werte ein:
\sum w_i^2 = 8^2 - 2 \cdot 9 = 64 - 18 = 46.
Wir müssen überprüfen, ob alle Wurzeln \( w_i \) reell und positiv sin...
\( f'(w) = 3w^2 - 16w + 9 \). Diskriminante: \( 256 - 108 = 148 > 0 \)...
\( w = \frac{16 \pm \sqrt{148}}{6} = \frac{16 \pm 2\sqrt{37}}{6} = \fr...
Approximiere \( \sqrt{37} \approx 6.08 \), also:
\( w_1 \approx \frac{8 - 6.08}{3} \approx 0.64 \), \( w_2 \approx \fra...
Berechne \( f(0.64) \approx (0.64)^3 - 8(0.64)^2 + 9(0.64) - 18 \appro...
\( f(4.69) \approx (4.69)^3 - 8(4.69)^2 + 9(4.69) - 18 \approx 102.7 -...
und \( f(6) = 216 - 288 + 54 - 18 = -36 < 0 \), \( f(5) = 125 - 200 +...

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