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Home » However, using the inradius formula, we can express the triangle’s area as: - 500apps

However, using the inradius formula, we can express the triangle’s area as: - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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$ (9a + b) - (6a + b) = -9 - 5 \Rightarrow 3a = -14 \Rightarrow a = -\...
$ 6(-\frac{14}{3}) + b = 5 \Rightarrow -28 + b = 5 \Rightarrow b = 33...
Substitute $ a = -\frac{14}{3}, b = 33 $ into (5):
$ 7(-\frac{14}{3}) + 3(33) + c = -4 \Rightarrow -\frac{98}{3} + 99 + c...
$ \Rightarrow \frac{-98 + 297}{3} + c = -4 \Rightarrow \frac{199}{3} +...
Now use (1) to solve for $ d $:
$ a + b + c + d = 3 \Rightarrow -\frac{14}{3} + 33 - \frac{211}{3} + d...
Combine fractions: $ \frac{-14 - 211}{3} + 33 + d = 3 \Rightarrow -\fr...
$ \Rightarrow -42 + d = 3 \Rightarrow d = 45 $
f(x) = -\frac{14}{3}x^3 + 33x^2 - \frac{211}{3}x + 45

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