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受欢迎的代数 >

-4m^2-12m+3=0

解答

- 4 m^{2} - 12 m + 3 = 0

解答

m = - \frac{3 + 2 3}{2}, m = \frac{2 3 - 3}{2}

+1

十进制

m = - 3.23205 \dots, m = 0.23205 \dots

求解步骤

- 4 m^{2} - 12 m + 3 = 0

使用求根公式求解

m_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 ( - 4 ) \cdot 3}{2 ( - 4 )}

(- 12)^{2} - 4 (- 4) \cdot 3 = 83

m_{1, 2} = \frac{- ( - 12 ) \pm 8 3}{2 ( - 4 )}

将解分隔开

m_{1} = \frac{- ( - 12 ) + 8 3}{2 ( - 4 )}, m_{2} = \frac{- ( - 12 ) - 8 3}{2 ( - 4 )}

m = \frac{- ( - 12 ) + 8 3}{2 ( - 4 )} : - \frac{3 + 2 3}{2}

m = \frac{- ( - 12 ) - 8 3}{2 ( - 4 )} : \frac{2 3 - 3}{2}

二次方程组的解是:

m = - \frac{3 + 2 3}{2}, m = \frac{2 3 - 3}{2}

作图

流行的例子

x^{2} - 20 = - 8 x

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

(x+1)^2-(x+1)/2 =18

(x + 1)^{2} - \frac{x + 1}{2} = 18

x^{2} + 7^{2} = 1 2^{2}

16 x^{2} - 40 = 0