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受欢迎的代数 >

-3x^2+6x+1=0

解答

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

解答

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

+1

十进制

x = - 0.15470 \dots, x = 2.15470 \dots

求解步骤

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

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 3 ) \cdot 1}{2 ( - 3 )}

6^{2} - 4 (- 3) \cdot 1 = 43

x_{1, 2} = \frac{- 6 \pm 4 3}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- 6 + 4 3}{2 ( - 3 )}, x_{2} = \frac{- 6 - 4 3}{2 ( - 3 )}

x = \frac{- 6 + 4 3}{2 ( - 3 )} : - \frac{- 3 + 2 3}{3}

x = \frac{- 6 - 4 3}{2 ( - 3 )} : \frac{3 + 2 3}{3}

二次方程组的解是:

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

作图

流行的例子

- 2 y^{2} + 30 y = 0

- x^{2} + 4 x = - 12

solvefor x,x^2+4y^2+z^2=9

so l v e f or x, x^{2} + 4 y^{2} + z^{2} = 9

4.69742x^2+53.20224x-4738.618=0

4.69742 x^{2} + 53.20224 x - 4738.618 = 0

4 X^{2} - 5 X - 6 = 0