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受欢迎的代数 >

x^3-0.8x^2-0.04x+0.032=0

解答

x^{3} - 0.8 x^{2} - 0.04 x + 0.032 = 0

解答

x = \frac{4}{5}, x = - \frac{1}{5}, x = \frac{1}{5}

+1

十进制

x = 0.8, x = - 0.2, x = 0.2

求解步骤

x^{3} - 0.8 x^{2} - 0.04 x + 0.032 = 0

在两边乘以

1000

1000 x^{3} - 800 x^{2} - 40 x + 32 = 0

因式分解

1000 x^{3} - 800 x^{2} - 40 x + 32 : 8 (5 x - 4) (5 x + 1) (5 x - 1)

8 (5 x - 4) (5 x + 1) (5 x - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

5 x - 4 = 0 or 5 x + 1 = 0 or 5 x - 1 = 0

解

5 x - 4 = 0 : x = \frac{4}{5}

解

5 x + 1 = 0 : x = - \frac{1}{5}

解

5 x - 1 = 0 : x = \frac{1}{5}

解为

x = \frac{4}{5}, x = - \frac{1}{5}, x = \frac{1}{5}

作图

流行的例子

a^{6} = 64

x^{5} - 3 x^{4} + 1 = 0

8 x^{3} = - 64

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

x^4-5x^3-15x^2+5x+14=0

x^{4} - 5 x^{3} - 15 x^{2} + 5 x + 14 = 0