(6x+7)²(3x+4)(x+1)=6用配方法解答
人气:370 ℃ 时间:2019-12-13 17:46:37
解答
(36x²+84x+49)(3x²+7x+4)=6,令3x^2+7x+4=t,则36x^2+84x+49=12t+1,原方程成为(12t+1)t=6,12t^2+t-6=0,∴t²+t/12-1/2=0(t+1/24)²=289/576∴t+1/24=±17/24∴t=2/3或-3/4当t=2/3时,3x^2+7x+4=2/3...
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