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tmua.fyi Paper 2 Challenge 2 · Q14

Paper 2Algebra

The inequality x2+bx+c>0x^2+bx+c>0 holds for every real xx if and only if

Ab2>4cb^2>4c
Bb2<4cb^2<4c
Cc>0c>0
Db2≤4cb^2\le4c
Eb2<4c and b>0b^2<4c\text{ and }b>0
Fc>0 and b>0c>0\text{ and }b>0
Gb2<4c or c>0b^2<4c\text{ or }c>0
Hb2≥4cb^2\ge4c

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