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受欢迎的代数 >

2840=1000*(1+x)^5

解答

2840 = 1000 \cdot (1 + x)^{5}

解答

x = 5 \frac{71}{25} - 1

+1

十进制

x = 0.23215 \dots

求解步骤

2840 = 1000 (1 + x)^{5}

交换两边

1000 (1 + x)^{5} = 2840

两边除以

1000

(1 + x)^{5} = \frac{71}{25}

对于

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

，n 为奇数，解为

g (x) = n f (a)

解

1 + x = 5 \frac{71}{25} : x = 5 \frac{71}{25} - 1

解是

x = 5 \frac{71}{25} - 1

作图

流行的例子

x^4+2x^3-13x^2-14x=-24

x^{4} + 2 x^{3} - 13 x^{2} - 14 x = - 24

x^3-8x^2-16x+128=0

x^{3} - 8 x^{2} - 16 x + 128 = 0

(1-x)*(2-x)*(3-x)=0

(1 - x) \cdot (2 - x) \cdot (3 - x) = 0

x^{3} + x - 9 = 0

- x^{2} + x^{3} + 5 = 5 x