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受欢迎的代数 >

3x-6+6x^2=0

解答

3 x - 6 + 6 x^{2} = 0

解答

x = \frac{- 1 + 17}{4}, x = - \frac{1 + 17}{4}

+1

十进制

x = 0.78077 \dots, x = - 1.28077 \dots

求解步骤

3 x - 6 + 6 x^{2} = 0

改写成标准形式

a x^{2} + b x + c = 0

6 x^{2} + 3 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 6 ( - 6 )}{2 \cdot 6}

3^{2} - 4 \cdot 6 (- 6) = 317

x_{1, 2} = \frac{- 3 \pm 3 17}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 3 + 3 17}{2 \cdot 6}, x_{2} = \frac{- 3 - 3 17}{2 \cdot 6}

x = \frac{- 3 + 3 17}{2 \cdot 6} : \frac{- 1 + 17}{4}

x = \frac{- 3 - 3 17}{2 \cdot 6} : - \frac{1 + 17}{4}

二次方程组的解是:

x = \frac{- 1 + 17}{4}, x = - \frac{1 + 17}{4}

作图

流行的例子

0=210+264t+0.5(-32.2)t^2

0 = 210 + 264 t + 0.5 (- 32.2) t^{2}

0 = 3 x^{2} - x

- 49 x^{2} = 56

completesquare x^2+6x-12=0

co m pl e t es q u a re x^{2} + 6 x - 12 = 0

(x - \frac{3}{2})^{2} = 0