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受欢迎的代数 >

x^2+2/3 x-1/9 =0

解答

x^{2} + \frac{2}{3} x - \frac{1}{9} = 0

解答

x = \frac{- 1 + 2}{3}, x = - \frac{1 + 2}{3}

+1

十进制

x = 0.13807 \dots, x = - 0.80473 \dots

求解步骤

x^{2} + \frac{2}{3} x - \frac{1}{9} = 0

找到

3, 9

的最小公倍数:

9

乘以最小公倍数=

9

x^{2} \cdot 9 + \frac{2}{3} x \cdot 9 - \frac{1}{9} \cdot 9 = 0 \cdot 9

化简

9 x^{2} + 6 x - 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 9 ( - 1 )}{2 \cdot 9}

6^{2} - 4 \cdot 9 (- 1) = 62

x_{1, 2} = \frac{- 6 \pm 6 2}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- 6 + 6 2}{2 \cdot 9}, x_{2} = \frac{- 6 - 6 2}{2 \cdot 9}

x = \frac{- 6 + 6 2}{2 \cdot 9} : \frac{- 1 + 2}{3}

x = \frac{- 6 - 6 2}{2 \cdot 9} : - \frac{1 + 2}{3}

二次方程组的解是:

x = \frac{- 1 + 2}{3}, x = - \frac{1 + 2}{3}

作图

流行的例子

4 m^{2} - 15 m + 5 = - 3 m

2 x^{2} - 13 x + 3 = - 4 x

3x^2+24x+48=-108

3 x^{2} + 24 x + 48 = - 108

x^{2} + \frac{3}{2} x - 3 = 0

2 x^{2} - 9 x + 21 = 0