tanα,tanβ是方程7x²-6x+1=0的两根,且0<α<π/2,π<β<3π/2,则α+β的值为
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![tanα,tanβ是方程7x²-6x+1=0的两根,且0<α<π/2,π<β<3π/2,则α+β的值为](/uploads/image/z/1857143-47-3.jpg?t=tan%CE%B1%2Ctan%CE%B2%E6%98%AF%E6%96%B9%E7%A8%8B7x%26%23178%3B-6x%2B1%3D0%E7%9A%84%E4%B8%A4%E6%A0%B9%2C%E4%B8%940%EF%BC%9C%CE%B1%EF%BC%9C%CF%80%2F2%2C%CF%80%EF%BC%9C%CE%B2%EF%BC%9C3%CF%80%2F2%2C%E5%88%99%CE%B1%2B%CE%B2%E7%9A%84%E5%80%BC%E4%B8%BA)
tanα,tanβ是方程7x²-6x+1=0的两根,且0<α<π/2,π<β<3π/2,则α+β的值为
tanα,tanβ是方程7x²-6x+1=0的两根,且0<α<π/2,π<β<3π/2,则α+β的值为
tanα,tanβ是方程7x²-6x+1=0的两根,且0<α<π/2,π<β<3π/2,则α+β的值为
tanα,tanβ是方程7x²-6x+1=0的两根,
所以tanα+tanβ=6/7,tanα*tanβ=1/7;
tan(α+β)=(tanα+tanβ)/(1-tanα*tanβ)=1;(1)
因为0<α<π/2,π<β<3π/2,
所以π