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人気のある代数 >

87=13*(1+x)^3

解

87 = 13 \cdot (1 + x)^{3}

解

x = 3 \frac{87}{13} - 1, x = \frac{1 3 ^{\frac{2}{3}} ( - 3 87 - 2 3 13 )}{26} + i \frac{1 3 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}} 3 29}{26}, x = \frac{1 3 ^{\frac{2}{3}} ( - 3 87 - 2 3 13 )}{26} - i \frac{1 3 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}} 3 29}{26}

解答ステップ

87 = 13 (1 + x)^{3}

辺を交換する

13 (1 + x)^{3} = 87

以下で両辺を割る

13

(1 + x)^{3} = \frac{87}{13}

g^{3} (x) = f (a)

の場合, 解は

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

解く

1 + x = 3 \frac{87}{13} : x = 3 \frac{87}{13} - 1

解く

1 + x = 3 \frac{87}{13} \frac{- 1 + 3 i}{2} : x = \frac{1 3 ^{\frac{2}{3}} ( - 3 87 - 2 3 13 )}{26} + i \frac{1 3 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}} 3 29}{26}

解く

1 + x = 3 \frac{87}{13} \frac{- 1 - 3 i}{2} : x = \frac{1 3 ^{\frac{2}{3}} ( - 3 87 - 2 3 13 )}{26} - i \frac{1 3 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}} 3 29}{26}

解答は

x = 3 \frac{87}{13} - 1, x = \frac{1 3 ^{\frac{2}{3}} ( - 3 87 - 2 3 13 )}{26} + i \frac{1 3 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}} 3 29}{26}, x = \frac{1 3 ^{\frac{2}{3}} ( - 3 87 - 2 3 13 )}{26} - i \frac{1 3 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}} 3 29}{26}

グラフ

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