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Home » \operatornameRe(z \overlinew) = 10 \Rightarrow \operatornameRe(z \overlinew) = 5 - AMAZONAWS

\operatornameRe(z \overlinew) = 10 \Rightarrow \operatornameRe(z \overlinew) = 5 - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 Set up the equation for total area: \((15 + 2x)(10 + 2x) = 286\).

📌 Expand and simplify: \(150 + 30x + 20x + 4x^2 = 286\).

📌 Combine like terms: \(4x^2 + 50x + 150 = 286\).

📌 Subtract 286: \(4x^2 + 50x - 136 = 0\).

📌 Solve the quadratic equation using the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), where \(a = 4\), \(b = 50\), \(c = -136\).

📌 Calculate: \(x = \frac{-50 \pm \sqrt{2500 + 2176}}{8} = \frac{-50 \pm \sqrt{4676}}{8}\).

📌 Approximate: \(x \approx \frac{-50 + 68.39}{8} = 2.3\) meters (only positive root is valid).

📌 A student scores 85, 90, and 78 on three tests. If the student wants an average score of 85 across four tests, what score is needed on the fourth test?

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