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受欢迎的代数 >

3x(x+1)=2x-7

解答

3 x (x + 1) = 2 x - 7

解答

x = - \frac{1}{6} + i \frac{83}{6}, x = - \frac{1}{6} - i \frac{83}{6}

求解步骤

3 x (x + 1) = 2 x - 7

展开

3 x (x + 1) : 3 x^{2} + 3 x

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

将

7

para o lado esquerdo

3 x^{2} + 3 x + 7 = 2 x

将

2 x

para o lado esquerdo

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

使用求根公式求解

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

化简

1^{2} - 4 \cdot 3 \cdot 7 : 83 i

x_{1, 2} = \frac{- 1 \pm 83 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 1 + 83 i}{2 \cdot 3}, x_{2} = \frac{- 1 - 83 i}{2 \cdot 3}

x = \frac{- 1 + 83 i}{2 \cdot 3} : - \frac{1}{6} + i \frac{83}{6}

x = \frac{- 1 - 83 i}{2 \cdot 3} : - \frac{1}{6} - i \frac{83}{6}

二次方程组的解是:

x = - \frac{1}{6} + i \frac{83}{6}, x = - \frac{1}{6} - i \frac{83}{6}

作图

流行的例子

x^{2} + 8 x + 15 = 0

(m-3)(3m+4)=5(m+1)+8

(m - 3) (3 m + 4) = 5 (m + 1) + 8

因式分解 x^3+x^2-14x-24

f a c t or x^{3} + x^{2} - 14 x - 24

∣ x ∣ > \frac{1}{6}

- 3 = 7 y + 9 - 4 y