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受欢迎的代数 >

3x^2+x+7=0

解答

3 x^{2} + x + 7 = 0

解答

x = - \frac{1}{6} + i \frac{83}{6}, x = - \frac{1}{6} - i \frac{83}{6}

求解步骤

3 x^{2} + x + 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 3 \cdot 7}{2 \cdot 3}

化简

1^{2} - 4 \cdot 3 \cdot 7 : 83 i

x_{1, 2} = \frac{- 1 \pm 83 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 1 + 83 i}{2 \cdot 3}, x_{2} = \frac{- 1 - 83 i}{2 \cdot 3}

x = \frac{- 1 + 83 i}{2 \cdot 3} : - \frac{1}{6} + i \frac{83}{6}

x = \frac{- 1 - 83 i}{2 \cdot 3} : - \frac{1}{6} - i \frac{83}{6}

二次方程组的解是:

x = - \frac{1}{6} + i \frac{83}{6}, x = - \frac{1}{6} - i \frac{83}{6}

作图

流行的例子

6(-3x+1)=-17(x+1)

6 (- 3 x + 1) = - 17 (x + 1)

化简 ((k^2)/4-9)/(k/6-1)

s im pl i f y \frac{\frac{k ^{2}}{4} - 9}{\frac{k}{6} - 1}

x + 4 = 25

-150x^2+1.2x+(-380)=0

- 150 x^{2} + 1.2 x + (- 380) = 0

2 (x - 4)^{2} = 12