设a,b是相异的两个实数,且满足a²-4a+3=0,b²-4b+3=0,求a/b+a/b的值
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![设a,b是相异的两个实数,且满足a²-4a+3=0,b²-4b+3=0,求a/b+a/b的值](/uploads/image/z/1668132-36-2.jpg?t=%E8%AE%BEa%2Cb%E6%98%AF%E7%9B%B8%E5%BC%82%E7%9A%84%E4%B8%A4%E4%B8%AA%E5%AE%9E%E6%95%B0%2C%E4%B8%94%E6%BB%A1%E8%B6%B3a%26%23178%3B-4a%2B3%3D0%2Cb%26%23178%3B-4b%2B3%3D0%2C%E6%B1%82a%2Fb%2Ba%2Fb%E7%9A%84%E5%80%BC)
设a,b是相异的两个实数,且满足a²-4a+3=0,b²-4b+3=0,求a/b+a/b的值
设a,b是相异的两个实数,且满足a²-4a+3=0,b²-4b+3=0,求a/b+a/b的值
设a,b是相异的两个实数,且满足a²-4a+3=0,b²-4b+3=0,求a/b+a/b的值
a²-4a+3=0,(a-3)(a-1)=0,a=3或a=1
b²-4b+3=0,(b-3)(b-1)=0,b=3或b=1,因为a,b相异,所以
a=3时,b=1,a/b+a/b=3+1/3=10/3.
或a=1,b=3,a/b+b/a=1/3+3=10/3
综上a/b+b/a=10/3
因为 a,b是相异的两个实数,且满足a²-4a+3=0,b²-4b+3=0
所以可将a,b 认为是方程x²-4x+3=0 的两个不同的实数根 a=1,b=3; 或者a=3,b=1
a/b+a/b=2a/b 等于2/3或者6 (求 a/b+a/b ???还是a/b+b/a=10/3)