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受欢迎的代数 >

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

解答

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

解答

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

求解步骤

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

在两边乘以

3

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

使用求根公式求解

r_{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

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

将解分隔开

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

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

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

二次方程组的解是:

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

作图

流行的例子

3 v^{2} + 27 v = 0

x^{2} + 10 x + 25 = - 9

x^{2} = 1 3^{2} + 1 2^{2}

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

- 5 x^{2} - 7 x + 6 = 0