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受欢迎的代数 >

3x(x-2)=x-6

解答

3 x (x - 2) = x - 6

解答

x = \frac{7}{6} + i \frac{23}{6}, x = \frac{7}{6} - i \frac{23}{6}

求解步骤

3 x (x - 2) = x - 6

展开

3 x (x - 2) : 3 x^{2} - 6 x

3 x^{2} - 6 x = x - 6

将

6

para o lado esquerdo

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

将

x

para o lado esquerdo

3 x^{2} - 7 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

化简

(- 7)^{2} - 4 \cdot 3 \cdot 6 : 23 i

x_{1, 2} = \frac{- ( - 7 ) \pm 23 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 23 i}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 23 i}{2 \cdot 3}

x = \frac{- ( - 7 ) + 23 i}{2 \cdot 3} : \frac{7}{6} + i \frac{23}{6}

x = \frac{- ( - 7 ) - 23 i}{2 \cdot 3} : \frac{7}{6} - i \frac{23}{6}

二次方程组的解是:

x = \frac{7}{6} + i \frac{23}{6}, x = \frac{7}{6} - i \frac{23}{6}

作图

流行的例子

\frac{1}{2} b + 1 = 3

(x^2-6)/2-(x^2+4)/4 =5

\frac{x ^{2} - 6}{2} - \frac{x ^{2} + 4}{4} = 5

-0.3x-7.2<= 0.1x+0.4

- 0.3 x - 7.2 \leq 0.1 x + 0.4

因式分解 x^4-10x+9

f a c t or x^{4} - 10 x + 9

化简 10sqrt(18)

s im pl i f y 1018