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Home / 4p + 2q + r &= 18 \quad \text{(2)}\\

4p + 2q + r &= 18 \quad \text{(2)}\\

February 22, 2026

$4p + 2q + r &= 18 \quad \text{(2)}\\$

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\( p(3)^2 + q(3) + r = 30 \implies 9p + 3q + r = 30 \)
System:
p + q + r &= 10 \quad \text{(1)}\\
9p + 3q + r &= 30 \quad \text{(3)}
Substitute \( p = 2 \) into (4):
3(2) + q = 8 \implies 6 + q = 8 \implies q = 2

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