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受欢迎的代数 >

-3x^2+12x-4=-12

解答

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

解答

x = - \frac{2 ( 15 - 3 )}{3}, x = \frac{2 ( 3 + 15 )}{3}

+1

十进制

x = - 0.58198 \dots, x = 4.58198 \dots

求解步骤

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

将

12

para o lado esquerdo

- 3 x^{2} + 12 x + 8 = 0

使用求根公式求解

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

1 2^{2} - 4 (- 3) \cdot 8 = 415

x_{1, 2} = \frac{- 12 \pm 4 15}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- 12 + 4 15}{2 ( - 3 )}, x_{2} = \frac{- 12 - 4 15}{2 ( - 3 )}

x = \frac{- 12 + 4 15}{2 ( - 3 )} : - \frac{2 ( 15 - 3 )}{3}

x = \frac{- 12 - 4 15}{2 ( - 3 )} : \frac{2 ( 3 + 15 )}{3}

二次方程组的解是:

x = - \frac{2 ( 15 - 3 )}{3}, x = \frac{2 ( 3 + 15 )}{3}

作图

流行的例子

5 a^{2} = 320

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4 x^{2} + 45 = - 20 x

z^2+0.4z+0.13=0

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