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受欢迎的代数 >

23305=7000(1+x)^3

解答

23305 = 7000 (1 + x)^{3}

解答

x = \frac{3 4661}{2 3 175} - 1, x = \frac{7 ^{\frac{2}{3}} 3 5 ( - 3 4661 - 4 \cdot 5 ^{\frac{2}{3}} 3 7 )}{140} + i \frac{7 ^{\frac{2}{3}} 3 23305 3}{140}, x = \frac{7 ^{\frac{2}{3}} 3 5 ( - 3 4661 - 4 \cdot 5 ^{\frac{2}{3}} 3 7 )}{140} - i \frac{7 ^{\frac{2}{3}} 3 23305 3}{140}

求解步骤

23305 = 7000 (1 + x)^{3}

交换两边

7000 (1 + x)^{3} = 23305

两边除以

7000

(1 + x)^{3} = \frac{4661}{1400}

对于

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

解为

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

解

1 + x = 3 \frac{4661}{1400} : x = \frac{3 4661}{2 3 175} - 1

解

1 + x = 3 \frac{4661}{1400} \frac{- 1 + 3 i}{2} : x = \frac{7 ^{\frac{2}{3}} 3 5 ( - 3 4661 - 4 \cdot 5 ^{\frac{2}{3}} 3 7 )}{140} + i \frac{7 ^{\frac{2}{3}} 3 23305 3}{140}

解

1 + x = 3 \frac{4661}{1400} \frac{- 1 - 3 i}{2} : x = \frac{7 ^{\frac{2}{3}} 3 5 ( - 3 4661 - 4 \cdot 5 ^{\frac{2}{3}} 3 7 )}{140} - i \frac{7 ^{\frac{2}{3}} 3 23305 3}{140}

解为

x = \frac{3 4661}{2 3 175} - 1, x = \frac{7 ^{\frac{2}{3}} 3 5 ( - 3 4661 - 4 \cdot 5 ^{\frac{2}{3}} 3 7 )}{140} + i \frac{7 ^{\frac{2}{3}} 3 23305 3}{140}, x = \frac{7 ^{\frac{2}{3}} 3 5 ( - 3 4661 - 4 \cdot 5 ^{\frac{2}{3}} 3 7 )}{140} - i \frac{7 ^{\frac{2}{3}} 3 23305 3}{140}

作图

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