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Official 2023 Paper 2 · Q18

Paper 2Algebra

The equation x4+bx2+c=0x^4+bx^2+c=0 has four distinct real roots if and only if which of the following conditions is satisfied?

Ab2>4cb^2>4c
Bb2<4cb^2<4c
Cc>0c>0 and b>2cb>2\sqrt c
Dc>0c>0 and b<−2cb<-2\sqrt c
Ec<0c<0 and b<0b<0
Fc<0c<0 and b>0b>0

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