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受欢迎的代数 >

2x^2+2x+0=0

解答

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

解答

x = 0, x = - 1

求解步骤

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

整理后得

2 x^{2} + 2 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

2^{2} - 4 \cdot 2 \cdot 0 = 2

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

将解分隔开

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

x = \frac{- 2 + 2}{2 \cdot 2} : 0

x = \frac{- 2 - 2}{2 \cdot 2} : - 1

二次方程组的解是:

x = 0, x = - 1

作图

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