x^2-ax+4=0(a错了,题目是求√(x1\x2)+√(x2\x1)

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x^2-ax+4=0(a错了,题目是求√(x1\x2)+√(x2\x1)
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x^2-ax+4=0(a错了,题目是求√(x1\x2)+√(x2\x1)
x^2-ax+4=0(a
错了,题目是求√(x1\x2)+√(x2\x1)

x^2-ax+4=0(a错了,题目是求√(x1\x2)+√(x2\x1)
由根与系数的关系,得:
x₁+x₂=a
x₁*x₂=4
则有:
[√(x₁/x₂)+√(x₂/x₁)]²
=(x₁/x₂)+(x₂/x₁)+2
=(x₁²+x₂²)/(x₁*x₂)+2
=(x₁²+x₂²+2x₁*x₂-2x₁*x₂)/4+2
=[(x₁+x₂)²-2x₁*x₂]/4+2
=[a²-8]/4+2
=a²/4
由于a

x^2-ax+4=0(a<0)的实数根是x1,x2
x1x2=4,x1+x2=a
a<0,√(x2+x1)=√a没有意义
题目错