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受欢迎的代数 >

-3x^2+4x-9=2x^2+3

解答

- 3 x^{2} + 4 x - 9 = 2 x^{2} + 3

解答

x = \frac{2}{5} - i \frac{2 14}{5}, x = \frac{2}{5} + i \frac{2 14}{5}

求解步骤

- 3 x^{2} + 4 x - 9 = 2 x^{2} + 3

将

3

para o lado esquerdo

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

将

2 x^{2}

para o lado esquerdo

- 5 x^{2} + 4 x - 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 5 ) ( - 12 )}{2 ( - 5 )}

化简

4^{2} - 4 (- 5) (- 12) : 414 i

x_{1, 2} = \frac{- 4 \pm 4 14 i}{2 ( - 5 )}

将解分隔开

x_{1} = \frac{- 4 + 4 14 i}{2 ( - 5 )}, x_{2} = \frac{- 4 - 4 14 i}{2 ( - 5 )}

x = \frac{- 4 + 4 14 i}{2 ( - 5 )} : \frac{2}{5} - i \frac{2 14}{5}

x = \frac{- 4 - 4 14 i}{2 ( - 5 )} : \frac{2}{5} + i \frac{2 14}{5}

二次方程组的解是:

x = \frac{2}{5} - i \frac{2 14}{5}, x = \frac{2}{5} + i \frac{2 14}{5}

作图

流行的例子

- 3 k^{2} = 162

- 2 x^{2} + 8 x = 10

a^{2} - 2 a + 2 = 4

2 y (4 y + 3) = 9

roo t s x^{2} - 9 x + c