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Home » 5a + b = 7 \quad \text(Equation 5) - Decision Point

5a + b = 7 \quad \text(Equation 5) - Decision Point

📅 May 2, 2026 👤 scraface

May 02, 2026

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Therefore, the value of \(a_4\) is:
Question:** In a futuristic navigation system, the position of a space...
To find when \(x(t) = y(t)\), set the expressions equal:
5t^2 + 3t + 2 = 2t^2 + 7t + 1
Subtract \(2t^2 + 7t + 1\) from both sides:
5t^2 + 3t + 2 - 2t^2 - 7t - 1 = 0
3t^2 - 4t + 1 = 0
Solve this quadratic equation using the quadratic formula:
where \(a = 3\), \(b = -4\), and \(c = 1\). Substituting:
t = \frac{-(-4) \pm \sqrt{(-4)^2 - 4 \cdot 3 \cdot 1}}{2 \cdot 3}

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