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受欢迎的代数 >

2m^2+20m=-70

解答

2 m^{2} + 20 m = - 70

解答

m = - 5 + 10 i, m = - 5 - 10 i

求解步骤

2 m^{2} + 20 m = - 70

将

70

para o lado esquerdo

2 m^{2} + 20 m + 70 = 0

使用求根公式求解

m_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 2 \cdot 70}{2 \cdot 2}

化简

2 0^{2} - 4 \cdot 2 \cdot 70 : 410 i

m_{1, 2} = \frac{- 20 \pm 4 10 i}{2 \cdot 2}

将解分隔开

m_{1} = \frac{- 20 + 4 10 i}{2 \cdot 2}, m_{2} = \frac{- 20 - 4 10 i}{2 \cdot 2}

m = \frac{- 20 + 4 10 i}{2 \cdot 2} : - 5 + 10 i

m = \frac{- 20 - 4 10 i}{2 \cdot 2} : - 5 - 10 i

二次方程组的解是:

m = - 5 + 10 i, m = - 5 - 10 i

作图

流行的例子

2 x^{2} = 1 + x

(2x-1)^2=(3-x)^2

(2 x - 1)^{2} = (3 - x)^{2}

4 x^{2} + x - 10 = 0

0 = - 12 x^{2} + 120 x

(x - 1)^{2} = \frac{2}{3}