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Home » Everything You Need to Know About the Broward School Calendar – February 2024 Edition! - ToelettAPP

Everything You Need to Know About the Broward School Calendar – February 2024 Edition! - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Pour \(x = 2\) : \(2^3 - 3 \times 2^2 + 2 \times 2 = 8 - 12 + 4 = 0\).

📌 Pour \(x = 3\) : \(3^3 - 3 \times 3^2 + 2 \times 3 = 27 - 27 + 6 = 6\).

📌 Puisque les deux racines sont valides, vérifiez la consistance de l’expression : \(x^3 - 3x^2 + 2x = x(x^2 - 3x + 2)\). Étant donné \(x^2 - 5x + 6 = 0\), substituez \(x^2 = 5x - 6\) :

📌 \(x^3 - 3x^2 + 2x = x((5x - 6) - 3x + 2) = x(2x - 4) = 2x^2 - 4x\).

📌 Substituez \(x^2 = 5x - 6\) de nouveau : \(2(5x - 6) - 4x = 10x - 12 - 4x = 6x - 12\).

📌 Pour \(x = 2\), \(6(2) - 12 = 0\). Pour \(x = 3\), \(6(3) - 12 = 6\).

📌 La valeur est cohérente avec les calculs, donc les valeurs possibles sont 0 et 6. Toutefois, l’expression se simplifie de manière à donner un seul résultat pour chaque racine, donc la forme est valide.

📌 #### 0 ou 6

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A quadratic equation \( ax^2 + bx + c = 0 \) has roots 3 and 5. If \(...
Sum of roots is \( 3 + 5 = 8 \), so \( -\frac{b}{a} = 8 \).
\( b = -8a = -8 \times 2 = -16 \).
Product of roots is \( 3 \times 5 = 15 \), so \( \frac{c}{a} = 15 \).
\( c = 15a = 15 \times 2 = 30 \).
Therefore, \( b = -16 \) and \( c = 30 \).
#### b = -16, c = 30
A circle is inscribed in a square with side length 10 cm. What is the...
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