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人気のある代数 >

1500=986(1+x)^3

解

1500 = 986 (1 + x)^{3}

解

x = \frac{5 3 6}{3 493} - 1, x = \frac{49 3 ^{\frac{2}{3}} 3 2 ( - 2 ^{\frac{2}{3}} 3 493 - 5 3 3 )}{986} + i \frac{5 \cdot 3 ^{\frac{5}{6}} \cdot 49 3 ^{\frac{2}{3}} 3 2}{986}, x = \frac{49 3 ^{\frac{2}{3}} 3 2 ( - 2 ^{\frac{2}{3}} 3 493 - 5 3 3 )}{986} - i \frac{5 \cdot 3 ^{\frac{5}{6}} \cdot 49 3 ^{\frac{2}{3}} 3 2}{986}

解答ステップ

1500 = 986 (1 + x)^{3}

辺を交換する

986 (1 + x)^{3} = 1500

以下で両辺を割る

986

(1 + x)^{3} = \frac{750}{493}

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{750}{493} : x = \frac{5 3 6}{3 493} - 1

解く

1 + x = 3 \frac{750}{493} \frac{- 1 + 3 i}{2} : x = \frac{49 3 ^{\frac{2}{3}} 3 2 ( - 2 ^{\frac{2}{3}} 3 493 - 5 3 3 )}{986} + i \frac{5 \cdot 3 ^{\frac{5}{6}} \cdot 49 3 ^{\frac{2}{3}} 3 2}{986}

解く

1 + x = 3 \frac{750}{493} \frac{- 1 - 3 i}{2} : x = \frac{49 3 ^{\frac{2}{3}} 3 2 ( - 2 ^{\frac{2}{3}} 3 493 - 5 3 3 )}{986} - i \frac{5 \cdot 3 ^{\frac{5}{6}} \cdot 49 3 ^{\frac{2}{3}} 3 2}{986}

解答は

x = \frac{5 3 6}{3 493} - 1, x = \frac{49 3 ^{\frac{2}{3}} 3 2 ( - 2 ^{\frac{2}{3}} 3 493 - 5 3 3 )}{986} + i \frac{5 \cdot 3 ^{\frac{5}{6}} \cdot 49 3 ^{\frac{2}{3}} 3 2}{986}, x = \frac{49 3 ^{\frac{2}{3}} 3 2 ( - 2 ^{\frac{2}{3}} 3 493 - 5 3 3 )}{986} - i \frac{5 \cdot 3 ^{\frac{5}{6}} \cdot 49 3 ^{\frac{2}{3}} 3 2}{986}

グラフ

人気の例

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