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受欢迎的代数 >

5x^2+20x+2=0

解答

5 x^{2} + 20 x + 2 = 0

解答

x = \frac{- 10 + 3 10}{5}, x = - \frac{2 5 + 3 2}{5}

+1

十进制

x = - 0.10263 \dots, x = - 3.89736 \dots

求解步骤

5 x^{2} + 20 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 5 \cdot 2}{2 \cdot 5}

2 0^{2} - 4 \cdot 5 \cdot 2 = 610

x_{1, 2} = \frac{- 20 \pm 6 10}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- 20 + 6 10}{2 \cdot 5}, x_{2} = \frac{- 20 - 6 10}{2 \cdot 5}

x = \frac{- 20 + 6 10}{2 \cdot 5} : \frac{- 10 + 3 10}{5}

x = \frac{- 20 - 6 10}{2 \cdot 5} : - \frac{2 5 + 3 2}{5}

二次方程组的解是:

x = \frac{- 10 + 3 10}{5}, x = - \frac{2 5 + 3 2}{5}

作图

流行的例子

8 c^{2} + 2 c - 1 = 0

x^{2} - 10 x = 6

2 m^{2} + 2 m - 24 = 0

- x^{2} = 5

completesquare x^2+2/3 x+1

co m pl e t es q u a re x^{2} + \frac{2}{3} x + 1