1Cademy - A quality control technician is calculating the tolerance factor $k$ for a mechanical component using the equation $(k + 1)(k - 1) = 8$. After rewriting the equation in the standard form $k^2 - 9 = 0$ and factoring it as $(k - 3)(k + 3) = 0$, the technician determines the two possible values for $k$. One value is 3; the other value is ___

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Solving $(k + 1)(k - 1) = 8$

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A quality control technician is calculating the tolerance factor $k$ for a mechanical component using the equation $(k + 1)(k - 1) = 8$ . After rewriting the equation in the standard form $k^2 - 9 = 0$ and factoring it as $(k - 3)(k + 3) = 0$ , the technician determines the two possible values for $k$ . One value is 3; the other value is ____.

Updated 2026-09-18

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