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受欢迎的代数 >

4=(1+r/2)^{20}

解答

4 = (1 + \frac{r}{2})^{20}

解答

r = 2102 - 2, r = - 2102 - 2

+1

十进制

r = 0.14354 \dots, r = - 4.14354 \dots

求解步骤

4 = (1 + \frac{r}{2})^{20}

交换两边

(1 + \frac{r}{2})^{20} = 4

对于

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

，n 为偶数，解为

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

解

1 + \frac{r}{2} = 204 : r = 2102 - 2

解

1 + \frac{r}{2} = - 204 : r = - 2102 - 2

解为

r = 2102 - 2, r = - 2102 - 2

作图

流行的例子

9 x^{3} - 4 = 0

X^{3} - 64 X = 0

b^{4} = 339

x^{10} = 1000

r^{4} = \frac{16}{81}