\[ t^2 + 3t + 5 - 20,000 = 0 \]

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• To find the time \( t \) when \( U(t) = 20,000 \), set up the equation:
• \[ t^2 + 3t + 5 = 20,000 \]
• Subtract 20,000 from both sides:
• \[ t^2 + 3t - 19,995 = 0 \]
• Use the quadratic formula \( t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), where \( a = 1 \), \( b = 3 \), and \( c = -19,995 \):
• \[ t = \frac{-3 \pm \sqrt{3^2 - 4 \times 1 \times (-19,995)}}{2 \times 1} \]

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