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受欢迎的代数 >

(2x+3)*(3x-1)=-4

解答

(2 x + 3) \cdot (3 x - 1) = - 4

解答

x = - \frac{1}{6}, x = - 1

+1

十进制

x = - 0.16666 \dots, x = - 1

求解步骤

(2 x + 3) (3 x - 1) = - 4

展开

(2 x + 3) (3 x - 1) : 6 x^{2} + 7 x - 3

6 x^{2} + 7 x - 3 = - 4

将

4

para o lado esquerdo

6 x^{2} + 7 x + 1 = 0

使用求根公式求解

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

7^{2} - 4 \cdot 6 \cdot 1 = 5

x_{1, 2} = \frac{- 7 \pm 5}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 7 + 5}{2 \cdot 6}, x_{2} = \frac{- 7 - 5}{2 \cdot 6}

x = \frac{- 7 + 5}{2 \cdot 6} : - \frac{1}{6}

x = \frac{- 7 - 5}{2 \cdot 6} : - 1

二次方程组的解是:

x = - \frac{1}{6}, x = - 1

作图

流行的例子

(5 w - 1) (w + 3) = 0

2 x^{2} + 6 x + 2 = 4

5 x^{2} + 10 = 9

2 n^{2} + 2 n^{2} = 1

(x+2)^2=2x(x+2)+12

(x + 2)^{2} = 2 x (x + 2) + 12