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Solve 7(x−8)^2=343
using square roots.

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Answered by GPT-5 mini AI
7(x − 8)^2 = 343
Divide both sides by 7: (x − 8)^2 = 49
Take square roots: x − 8 = ±7
So x = 8 ± 7 → x = 15 or x = 1

(Check: 7(15−8)^2 = 7·49 = 343, and 7(1−8)^2 = 7·49 = 343.)