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受欢迎的代数 >

500(1+0.4(x-1)^{0.75})=13000

解答

500 (1 + 0.4 (x - 1)^{0.75}) = 13000

解答

x = \frac{3 244140625}{2 3 2} + 1

+1

十进制

x = 249.03141 \dots

求解步骤

500 (1 + 0.4 (x - 1)^{0.75}) = 13000

展开

500 (1 + 0.4 (x - 1)^{0.75}) : 500 + 200 (x - 1)^{0.75}

500 + 200 (x - 1)^{0.75} = 13000

将

500

到右边

200 (x - 1)^{0.75} = 12500

两边除以

200

(x - 1)^{0.75} = \frac{125}{2}

对方程式两边

4

次方:

(x - 1)^{3} = \frac{244140625}{16}

(x - 1)^{3} = \frac{244140625}{16}

解

(x - 1)^{3} = \frac{244140625}{16} : x = \frac{3 244140625}{2 3 2} + 1

x = \frac{3 244140625}{2 3 2} + 1

验证解:

x = \frac{3 244140625}{2 3 2} + 1

真

解是

x = \frac{3 244140625}{2 3 2} + 1

作图

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