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受欢迎的代数 >

((3x)}{2-5}=\frac{(2x(x+3)))/5

解答

\frac{( 3 x )}{2 - 5} = \frac{( 2 x ( x + 3 ) )}{5}

解答

x = 0, x = - \frac{11}{2}

+1

十进制

x = 0, x = - 5.5

求解步骤

\frac{( 3 x )}{2 - 5} = \frac{( 2 x ( x + 3 ) )}{5}

化简

2 - 5 : - 3

\frac{( 3 x )}{- 3} = \frac{( 2 x ( x + 3 ) )}{5}

找到

3, 5

的最小公倍数:

15

乘以最小公倍数=

15

\frac{3 x}{- 3} \cdot 15 = \frac{2 x ( x + 3 )}{5} \cdot 15

化简

- 15 x = 6 x (x + 3)

展开

6 x (x + 3) : 6 x^{2} + 18 x

- 15 x = 6 x^{2} + 18 x

交换两边

6 x^{2} + 18 x = - 15 x

将

15 x

para o lado esquerdo

6 x^{2} + 33 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 33 \pm 3 3 ^{2} - 4 \cdot 6 \cdot 0}{2 \cdot 6}

3 3^{2} - 4 \cdot 6 \cdot 0 = 33

x_{1, 2} = \frac{- 33 \pm 33}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 33 + 33}{2 \cdot 6}, x_{2} = \frac{- 33 - 33}{2 \cdot 6}

x = \frac{- 33 + 33}{2 \cdot 6} : 0

x = \frac{- 33 - 33}{2 \cdot 6} : - \frac{11}{2}

二次方程组的解是:

x = 0, x = - \frac{11}{2}

作图

流行的例子

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solvefor x,f=x^2+(m-2)x+(m-3)

so l v e f or x, f = x^{2} + (m - 2) x + (m - 3)

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