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受欢迎的代数 >

3r^2+4r+2=0

解答

3 r^{2} + 4 r + 2 = 0

解答

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

求解步骤

3 r^{2} + 4 r + 2 = 0

使用求根公式求解

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

化简

4^{2} - 4 \cdot 3 \cdot 2 : 22 i

r_{1, 2} = \frac{- 4 \pm 2 2 i}{2 \cdot 3}

将解分隔开

r_{1} = \frac{- 4 + 2 2 i}{2 \cdot 3}, r_{2} = \frac{- 4 - 2 2 i}{2 \cdot 3}

r = \frac{- 4 + 2 2 i}{2 \cdot 3} : - \frac{2}{3} + i \frac{2}{3}

r = \frac{- 4 - 2 2 i}{2 \cdot 3} : - \frac{2}{3} - i \frac{2}{3}

二次方程组的解是:

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

作图

流行的例子

a x^{2} - 6 x + c = 0

x^{2} = 6^{2} + 1 0^{2}

x^{2} + 4 x + 4 = - 9

1 8^{2} = 1 2^{2} + x^{2}

2 x^{2} - 14 x + 9 = 0