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Thus, the area of the screen is: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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🔥 Popular Posts

\boxed{240^\circ} \quad \text{و} \quad \boxed{300^\circ}
الإجابة النهائية:** الزوايا هي $\boxed{240^\circ}$ و $\boxed{300^\circ...
السؤال: أوجد المتجه $\mathbf{v}$ بحيث أن $\mathbf{v} \times \begin{pma...
الحل: ليكن $\mathbf{v} = \begin{pmatrix} v_1 \\ v_2 \\ v_3 \end{pmatri...
\mathbf{v} \times \begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix} = \begin{p...
نحتاج إلى أنه يساوي $\begin{pmatrix} 0 \\ 3 \\ -2 \end{pmatrix}$, مما...
= 0 \\
v_3 = 3 \\
-v_2 = -2 \implies v_2 = 2
إذن، $\mathbf{v} = \begin{pmatrix} v_1 \\ 2 \\ 3 \end{pmatrix}$، حيث ي...

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\frac{a}{b} + \frac{b}{a} = 5
Let $ x = \frac{a}{b} $. Then $ \frac{b}{a} = \frac{1}{x} $, so:
x + \frac{1}{x} = 5
We want to compute:
\frac{a^2 + b^2}{a^2 - b^2} + \frac{a^2 - b^2}{a^2 + b^2}
Note that:
a^2 + b^2 = b^2(x^2 + 1), \quad a^2 - b^2 = b^2(x^2 - 1)
So the expression becomes:
\frac{b^2(x^2 + 1)}{b^2(x^2 - 1)} + \frac{b^2(x^2 - 1)}{b^2(x^2 + 1)}...
Let $ y = \frac{x^2 + 1}{x^2 - 1} $, then the expression becomes:

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