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受欢迎的代数 >

x^2+(sqrt(3))/3 x+7/3 =0

解答

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

解答

x = - \frac{3}{6} + i \frac{3}{2}, x = - \frac{3}{6} - i \frac{3}{2}

求解步骤

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

在两边乘以

3

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

使用求根公式求解

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

化简

(3)^{2} - 4 \cdot 3 \cdot 7 : 9 i

x_{1, 2} = \frac{- 3 \pm 9 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 3 + 9 i}{2 \cdot 3}, x_{2} = \frac{- 3 - 9 i}{2 \cdot 3}

x = \frac{- 3 + 9 i}{2 \cdot 3} : - \frac{3}{6} + i \frac{3}{2}

x = \frac{- 3 - 9 i}{2 \cdot 3} : - \frac{3}{6} - i \frac{3}{2}

二次方程组的解是:

x = - \frac{3}{6} + i \frac{3}{2}, x = - \frac{3}{6} - i \frac{3}{2}

作图

流行的例子

25 x^{2} - 20 x + 9 = 0

4 x^{2} + 6 x - 86 = 2

3x^2+(-6x)+14-2x^2+(-18)+7x=2x-4

3 x^{2} + (- 6 x) + 14 - 2 x^{2} + (- 18) + 7 x = 2 x - 4

3 r^{2} + 27 r = 12

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