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受欢迎的代数 >

x^3-2.2x^2-6.61x+8.602=0

解答

x^{3} - 2.2 x^{2} - 6.61 x + 8.602 = 0

解答

x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

+1

十进制

x = 3.4, x = 1.1, x = - 2.3

求解步骤

x^{3} - 2.2 x^{2} - 6.61 x + 8.602 = 0

在两边乘以

1000

1000 x^{3} - 2200 x^{2} - 6610 x + 8602 = 0

因式分解

1000 x^{3} - 2200 x^{2} - 6610 x + 8602 : 2 (5 x - 17) (10 x - 11) (10 x + 23)

2 (5 x - 17) (10 x - 11) (10 x + 23) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

5 x - 17 = 0 or 10 x - 11 = 0 or 10 x + 23 = 0

解

5 x - 17 = 0 : x = \frac{17}{5}

解

10 x - 11 = 0 : x = \frac{11}{10}

解

10 x + 23 = 0 : x = - \frac{23}{10}

解为

x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

作图

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