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受欢迎的代数 >

12500=10000(1+X)^{10}

解答

12500 = 10000 (1 + X)^{10}

解答

X = 10 \frac{5}{4} - 1, X = - 10 \frac{5}{4} - 1

+1

十进制

X = 0.02256 \dots, X = - 2.02256 \dots

求解步骤

12500 = 10000 (1 + X)^{10}

交换两边

10000 (1 + X)^{10} = 12500

两边除以

10000

(1 + X)^{10} = \frac{5}{4}

对于

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

，n 为偶数，解为

g (x) = n f (a), - n f (a)

解

1 + X = 10 \frac{5}{4} : X = 10 \frac{5}{4} - 1

解

1 + X = - 10 \frac{5}{4} : X = - 10 \frac{5}{4} - 1

解为

X = 10 \frac{5}{4} - 1, X = - 10 \frac{5}{4} - 1

作图

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