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受欢迎的代数 >

-6x=-9x^2+8

解答

- 6 x = - 9 x^{2} + 8

解答

x = - \frac{2}{3}, x = \frac{4}{3}

+1

十进制

x = - 0.66666 \dots, x = 1.33333 \dots

求解步骤

- 6 x = - 9 x^{2} + 8

交换两边

- 9 x^{2} + 8 = - 6 x

将

6 x

para o lado esquerdo

- 9 x^{2} + 8 + 6 x = 0

改写成标准形式

a x^{2} + b x + c = 0

- 9 x^{2} + 6 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 9 ) \cdot 8}{2 ( - 9 )}

6^{2} - 4 (- 9) \cdot 8 = 18

x_{1, 2} = \frac{- 6 \pm 18}{2 ( - 9 )}

将解分隔开

x_{1} = \frac{- 6 + 18}{2 ( - 9 )}, x_{2} = \frac{- 6 - 18}{2 ( - 9 )}

x = \frac{- 6 + 18}{2 ( - 9 )} : - \frac{2}{3}

x = \frac{- 6 - 18}{2 ( - 9 )} : \frac{4}{3}

二次方程组的解是:

x = - \frac{2}{3}, x = \frac{4}{3}

作图

流行的例子

k^{2} + 10 k + 16 = 0

18 x^{2} - 7 x = 1

y^{2} - 4 y = 5

x^{2} - 18 (x - 4) = 0

3 a^{2} - 8 a + 4 = 0