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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 = 0To 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)] / 6Since 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)] / 6The 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] / 6x = 2 ± 2iSo, 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 = 0Since the discriminant is 0, not -144, our initial calculation was incorrect. Let's correct it and find the real solutions:x = [12 ± sqrt(144)] / 6x = [1
2020年8月13日
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