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受欢迎的代数 >

(x-9)/6+3/2-(x^2)/3 =0

解答

\frac{x - 9}{6} + \frac{3}{2} - \frac{x ^{2}}{3} = 0

解答

x = 0, x = \frac{1}{2}

+1

十进制

x = 0, x = 0.5

求解步骤

\frac{x - 9}{6} + \frac{3}{2} - \frac{x ^{2}}{3} = 0

找到

6, 2, 3

的最小公倍数:

6

乘以最小公倍数=

6

\frac{x - 9}{6} \cdot 6 + \frac{3}{2} \cdot 6 - \frac{x ^{2}}{3} \cdot 6 = 0 \cdot 6

化简

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

- 2 x^{2} + x = 0

使用求根公式求解

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 2 ) \cdot 0}{2 ( - 2 )}

1^{2} - 4 (- 2) \cdot 0 = 1

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

将解分隔开

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

x = \frac{- 1 + 1}{2 ( - 2 )} : 0

x = \frac{- 1 - 1}{2 ( - 2 )} : \frac{1}{2}

二次方程组的解是:

x = 0, x = \frac{1}{2}

作图

流行的例子

∣ 2 x + 3 ∣ = 1 - x

7 x + 9 = 9 x - 23

s im pl i f y (\frac{2}{5})^{1}

- 2 x - 15 < - x + 8

x^{2} - x - 30 = 0