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受欢迎的代数 >

12x^2+12x+9=0

解答

12 x^{2} + 12 x + 9 = 0

解答

x = - \frac{1}{2} + i \frac{2}{2}, x = - \frac{1}{2} - i \frac{2}{2}

求解步骤

12 x^{2} + 12 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 12 \cdot 9}{2 \cdot 12}

化简

1 2^{2} - 4 \cdot 12 \cdot 9 : 122 i

x_{1, 2} = \frac{- 12 \pm 12 2 i}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- 12 + 12 2 i}{2 \cdot 12}, x_{2} = \frac{- 12 - 12 2 i}{2 \cdot 12}

x = \frac{- 12 + 12 2 i}{2 \cdot 12} : - \frac{1}{2} + i \frac{2}{2}

x = \frac{- 12 - 12 2 i}{2 \cdot 12} : - \frac{1}{2} - i \frac{2}{2}

二次方程组的解是:

x = - \frac{1}{2} + i \frac{2}{2}, x = - \frac{1}{2} - i \frac{2}{2}

作图

流行的例子

5 y^{2} + 13 y + 6 = 0

5 (x - 4)^{2} = 30

x^{2} + 2 x + 321 = 0

25(x^2-1)+13=-8

25 (x^{2} - 1) + 13 = - 8

2 x^{2} + 18 = 4 x