Complete the square to write 16t² - 96t + 48 = 0 as (t + 9)² = -3(t - 3)² = 6(t - 6)² = 12.

Divide every term by 16 to get t² − 6t + 3 = 0, or t² − 6t = −3. Add 9 to both sides to complete the square: (t − 3)² = 6. This matches choice B; the squared expression is centered at t = 3, not t = −9 or t = 6.

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