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受欢迎的代数 >

2x^2+10x+4=0

解答

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

解答

x = \frac{- 5 + 17}{2}, x = - \frac{5 + 17}{2}

+1

十进制

x = - 0.43844 \dots, x = - 4.56155 \dots

求解步骤

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

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 2 \cdot 4}{2 \cdot 2}

1 0^{2} - 4 \cdot 2 \cdot 4 = 217

x_{1, 2} = \frac{- 10 \pm 2 17}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 10 + 2 17}{2 \cdot 2}, x_{2} = \frac{- 10 - 2 17}{2 \cdot 2}

x = \frac{- 10 + 2 17}{2 \cdot 2} : \frac{- 5 + 17}{2}

x = \frac{- 10 - 2 17}{2 \cdot 2} : - \frac{5 + 17}{2}

二次方程组的解是:

x = \frac{- 5 + 17}{2}, x = - \frac{5 + 17}{2}

作图

流行的例子

4 x^{2} + 6 x + 3 = 0

x^{2} + 4 x - 13 = 0

x^{2} + 12 x = - 20

10 p^{2} - 2 p + 12 = 2

x^{2} - 5 x = 3