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受欢迎的代数 >

3m^2+2m+2=0

解答

3 m^{2} + 2 m + 2 = 0

解答

m = - \frac{1}{3} + i \frac{5}{3}, m = - \frac{1}{3} - i \frac{5}{3}

求解步骤

3 m^{2} + 2 m + 2 = 0

使用求根公式求解

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

化简

2^{2} - 4 \cdot 3 \cdot 2 : 25 i

m_{1, 2} = \frac{- 2 \pm 2 5 i}{2 \cdot 3}

将解分隔开

m_{1} = \frac{- 2 + 2 5 i}{2 \cdot 3}, m_{2} = \frac{- 2 - 2 5 i}{2 \cdot 3}

m = \frac{- 2 + 2 5 i}{2 \cdot 3} : - \frac{1}{3} + i \frac{5}{3}

m = \frac{- 2 - 2 5 i}{2 \cdot 3} : - \frac{1}{3} - i \frac{5}{3}

二次方程组的解是:

m = - \frac{1}{3} + i \frac{5}{3}, m = - \frac{1}{3} - i \frac{5}{3}

作图

流行的例子

x^{2} - 5 x + 6 = 21 - 3 x

(a+1)x^2+4ax=8x-2a

(a + 1) x^{2} + 4 a x = 8 x - 2 a

2 0^{2} = x^{2} + 1 3^{2}

8 x^{2} + 48 x + 5 = 0

48 = - 16 t^{2} + 96 t