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If the roots of the quadratic equation x2 + kx + 16 = 0 differ by 8, find the value of k.
For a quadratic equation ax2 + bx + c = 0, if the roots differ by d, then:
d2 = (b/a)2 - 4(c/a)
Here, a = 1, c = 16, and d = 8
64 = k2 - 64
k2 = 128
Since we need the difference to be 8, k = ±8
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