TBX-033 游乐园里的过山车非常刺激,让人心跳加速。 重新编写的句子: 游乐园里的过山车非常刺激,让人心跳加速。</s>Solve the following equation for x: 3x^2 - 12x + 12 = 0 To solve the quadratic equation 3x^2 - 12x + 12 = 0, we can use the quadratic formula, which is: x = [-b ± sqrt(b^2 - 4ac)] / (2a) In this equation, a = 3, b = -12, and c = 12. Plugging these values into the quadratic formula, we get: x = [12 ± sqrt((-12)^2 - 4 * 3 * 12)] / (2 * 3) x = [12 ± sqrt(144 - 144)] / 6 Since the square of -12 is -144 (and not 144), the integral part of the formula (b^2 - 4ac) is negative, and we take the negative square root: x = [12 ± sqrt(-144)] / 6 The negative square root of -144 is 12i, where i is the imaginary unit (sqrt(-1)). Therefore, we have two complex solutions for x: x = [12 ± 12i] / 6 x = 2 ± 2i So, the two solutions for x are x = 2 + 2i and x = 2 - 2i. However, if we made a mistake in calculating the square root, the discriminant (b^2 - 4ac) should be non-negative for real solutions. Let's check our calculation: b^2 - 4ac = (-12)^2 - 4 * 3 * 12 = 144 - 144 = 0 Since the discriminant is 0, not -144, our initial calculation was incorrect. Let's correct it and find the real solutions: x = [12 ± sqrt(144)] / 6 x = [1
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