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受欢迎的代数 >

3x^2+3x=2x-1

解答

3 x^{2} + 3 x = 2 x - 1

解答

x = - \frac{1}{6} + i \frac{11}{6}, x = - \frac{1}{6} - i \frac{11}{6}

求解步骤

3 x^{2} + 3 x = 2 x - 1

将

1

para o lado esquerdo

3 x^{2} + 3 x + 1 = 2 x

将

2 x

para o lado esquerdo

3 x^{2} + x + 1 = 0

使用求根公式求解

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

化简

1^{2} - 4 \cdot 3 \cdot 1 : 11 i

x_{1, 2} = \frac{- 1 \pm 11 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 1 + 11 i}{2 \cdot 3}, x_{2} = \frac{- 1 - 11 i}{2 \cdot 3}

x = \frac{- 1 + 11 i}{2 \cdot 3} : - \frac{1}{6} + i \frac{11}{6}

x = \frac{- 1 - 11 i}{2 \cdot 3} : - \frac{1}{6} - i \frac{11}{6}

二次方程组的解是:

x = - \frac{1}{6} + i \frac{11}{6}, x = - \frac{1}{6} - i \frac{11}{6}

作图

流行的例子

(λ^2-14)-20=λ

(λ^{2} - 14) - 20 = λ

solvefor x,x^2-2x=m^2+2m

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

-3x^2+(7k^2-3)x+7=0

- 3 x^{2} + (7 k^{2} - 3) x + 7 = 0

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

(x + 1)^{3} = (x + 2)^{3} - 1

x^{2} + 3 x = 20 x