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受欢迎的代数 >

3x^2=-6-8x

解答

3 x^{2} = - 6 - 8 x

解答

x = - \frac{4}{3} + i \frac{2}{3}, x = - \frac{4}{3} - i \frac{2}{3}

求解步骤

3 x^{2} = - 6 - 8 x

将

8 x

para o lado esquerdo

3 x^{2} + 8 x = - 6

将

6

para o lado esquerdo

3 x^{2} + 8 x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

化简

8^{2} - 4 \cdot 3 \cdot 6 : 22 i

x_{1, 2} = \frac{- 8 \pm 2 2 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 8 + 2 2 i}{2 \cdot 3}, x_{2} = \frac{- 8 - 2 2 i}{2 \cdot 3}

x = \frac{- 8 + 2 2 i}{2 \cdot 3} : - \frac{4}{3} + i \frac{2}{3}

x = \frac{- 8 - 2 2 i}{2 \cdot 3} : - \frac{4}{3} - i \frac{2}{3}

二次方程组的解是:

x = - \frac{4}{3} + i \frac{2}{3}, x = - \frac{4}{3} - i \frac{2}{3}

作图

流行的例子

11 x^{2} + 5 = 49

solvefor a,(a+sqrt(b))^2=49+12sqrt(b)

so l v e f or a, (a + b)^{2} = 49 + 12 b

h^{2} + 5 h = 155

h^{2} - 7 h = 0

solvefor y,z=y^2+(x^3)/3+xy

so l v e f or y, z = y^{2} + \frac{x ^{3}}{3} + x y