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12x^3-23x^2-3x+2=0

解答

12 x^{3} - 23 x^{2} - 3 x + 2 = 0

解答

x = 2, x = \frac{1}{4}, x = - \frac{1}{3}

+1

十进制表示法

x = 2, x = 0.25, x = - 0.33333 \dots

求解步骤

12 x^{3} - 23 x^{2} - 3 x + 2 = 0

因式分解

12 x^{3} - 23 x^{2} - 3 x + 2 : (x - 2) (4 x - 1) (3 x + 1)

(x - 2) (4 x - 1) (3 x + 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 2 = 0 or 4 x - 1 = 0 or 3 x + 1 = 0

解

x - 2 = 0 : x = 2

解

4 x - 1 = 0 : x = \frac{1}{4}

解

3 x + 1 = 0 : x = - \frac{1}{3}

解为

x = 2, x = \frac{1}{4}, x = - \frac{1}{3}

流行的例子

∣ x + 2 ∣ > 5

因式分解 9x^2-72x+144 因式分解

9 x^{2} - 72 x + 144

x^{2} - 3 x - 1 = 4

\frac{3}{4} y = 24

1-0.4x<= 3.4-0.6x

1 - 0.4 x \leq 3.4 - 0.6 x