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受欢迎的代数 >

-2x^2-4x+1=0

解答

- 2 x^{2} - 4 x + 1 = 0

解答

x = - \frac{2 + 6}{2}, x = \frac{6 - 2}{2}

+1

十进制

x = - 2.22474 \dots, x = 0.22474 \dots

求解步骤

- 2 x^{2} - 4 x + 1 = 0

使用求根公式求解

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

(- 4)^{2} - 4 (- 2) \cdot 1 = 26

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

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 6}{2 ( - 2 )}, x_{2} = \frac{- ( - 4 ) - 2 6}{2 ( - 2 )}

x = \frac{- ( - 4 ) + 2 6}{2 ( - 2 )} : - \frac{2 + 6}{2}

x = \frac{- ( - 4 ) - 2 6}{2 ( - 2 )} : \frac{6 - 2}{2}

二次方程组的解是:

x = - \frac{2 + 6}{2}, x = \frac{6 - 2}{2}

作图

流行的例子

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

7 x^{2} - 105 = 0

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

- 2 n^{2} = 14

2 x^{2} - 3 = 19