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数学II B おしえてください！
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Undergraduate
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11枚目
異なる3つの実数解なのでグラフの頂点が正負に一つずつあればよいことになります。
式を微分（f'(x)）して0とおくと
x＝0、-2a/3
これがf（x）グラフの頂点のx座標です。
a＞0とすると
f(0)＝b＝-a-1＜0よりa＞-1
f(-2a/3)＞0よりa＜3
a＞0より0＜a＜3
a＜0のとき
f(0)＝-a-1＞0よりa＜-1となり不適
なので0＜a＜3ではないかと思います。
1枚目
a＋ar＋ar2＝21 ―①
ar2＋ar3＋ar4
＝r2（a＋ar＋ar2）＝84 ―②
②－①
（r2－1）（a＋ar＋ar2）＝63
①より
（r2－1）×21＝63
r2－1＝3
r＞0よりr＝2
①に代入してa＝3
でどうですか