For how many integer values of m parabola

Ryker Harvey

Ryker Harvey

Answered question

2022-04-08

For how many integer values of m parabola y=(m2)x2+12x+m+3 passes through only three quadrants?
1) 0
2) 7
3) 12
4) infinity

Answer & Explanation

xcentricccrhb1

xcentricccrhb1

Beginner2022-04-09Added 12 answers

One mistake is that
m2+m42<0
gives m(7,6) instead of m[7,6]. So {7,6} are excluded.
If one excludes also m=2 (which does not give a parabola), then there are only 7 possible choices: {6,5,4,3,3,4,5}

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