Solve the quadratic equation x^2 - 8x + 12 = 0 using the quadratic formula or factoring.

Answer and explanation

Correct answer: D. x = 2 and x = 6

  1. Step 1: Factor the quadratic: (x - 2)(x - 6) = 0. Step 2. Set each factor to zero: x = 2 or x = 6. Answer: x = 2 and x = 6. Why not the others: Negating both signs (-2, -6) flips the middle term to +8x; (3, 4) gives a product of 12 but sums to 7, not 8.

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