\( -5t^2 + 20t + 2 = 0 \)
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- \( a_3 = 3a_2 + 4 = 3 \times 10 + 4 = 34 \)
- \( a_4 = 3a_3 + 4 = 3 \times 34 + 4 = 106 \)
- \( P = -2(3)^2 + 12(3) - 5 = -18 + 36 - 5 = 13 \).
- \( a = -5, b = 20, c = 2 \)
- \( t = \frac{-20 \pm \sqrt{440}}{-10} = \frac{-20 \pm 2\sqrt{110}}{-10} = \frac{20 \mp 2\sqrt{110}}{10} = 2 \mp \frac{\sqrt{110}}{5} \)
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