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Home / \(x(x + 2) = 168 \Rightarrow x^2 + 2x - 168 = 0\)

\(x(x + 2) = 168 \Rightarrow x^2 + 2x - 168 = 0\)

February 22, 2026

$x(x + 2) = 168 \Rightarrow x^2 + 2x - 168 = 0$

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#### 6 hours
The product of two consecutive even integers is 168. Find the smaller integer.
Let integers: \(x\) and \(x + 2\)
Discriminant: \(4 + 672 = 676 = 26^2\)
\(x = \frac{-2 \pm 26}{2} \Rightarrow x = 12\) or \(x = -14\)
Smaller: 12 (positive solution)

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