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The minimum number of real roots of (x^(...

The minimum number of real roots of `(x^(2)+3x+a)(x^(2)+ax+1)=0` equals

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The correct Answer is:
2
`/_\_(1)=9-4a implies /_\_(1)+/_\_(2)=a^(2)-4a+5`
`/_\_(2)=a^(2)-4 =(a-2)^(2)+1gt0`
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