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受欢迎的代数 >

根 2x^3-5x^2+8x-5

解答

根

2 x^{3} - 5 x^{2} + 8 x - 5

解答

x = 1, x = \frac{3}{4} + i \frac{31}{4}, x = \frac{3}{4} - i \frac{31}{4}

求解步骤

2 x^{3} - 5 x^{2} + 8 x - 5

根与 X 轴相交

(y = 0)

2 x^{3} - 5 x^{2} + 8 x - 5 = 0

因式分解

2 x^{3} - 5 x^{2} + 8 x - 5 : (x - 1) (2 x^{2} - 3 x + 5)

(x - 1) (2 x^{2} - 3 x + 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 1 = 0 or 2 x^{2} - 3 x + 5 = 0

解

x - 1 = 0 : x = 1

解

2 x^{2} - 3 x + 5 = 0 : x = \frac{3}{4} + i \frac{31}{4}, x = \frac{3}{4} - i \frac{31}{4}

解为

x = 1, x = \frac{3}{4} + i \frac{31}{4}, x = \frac{3}{4} - i \frac{31}{4}

作图

流行的例子

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