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受欢迎的代数 >

x^2+(11x)/3 = 5/12

解答

x^{2} + \frac{11 x}{3} = \frac{5}{12}

解答

x = \frac{- 11 + 2 34}{6}, x = - \frac{11 + 2 34}{6}

+1

十进制

x = 0.11031 \dots, x = - 3.77698 \dots

求解步骤

x^{2} + \frac{11 x}{3} = \frac{5}{12}

找到

3, 12

的最小公倍数:

12

乘以最小公倍数=

12

x^{2} \cdot 12 + \frac{11 x}{3} \cdot 12 = \frac{5}{12} \cdot 12

化简

12 x^{2} + 44 x = 5

将

5

para o lado esquerdo

12 x^{2} + 44 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- 44 \pm 4 4 ^{2} - 4 \cdot 12 ( - 5 )}{2 \cdot 12}

4 4^{2} - 4 \cdot 12 (- 5) = 834

x_{1, 2} = \frac{- 44 \pm 8 34}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- 44 + 8 34}{2 \cdot 12}, x_{2} = \frac{- 44 - 8 34}{2 \cdot 12}

x = \frac{- 44 + 8 34}{2 \cdot 12} : \frac{- 11 + 2 34}{6}

x = \frac{- 44 - 8 34}{2 \cdot 12} : - \frac{11 + 2 34}{6}

二次方程组的解是:

x = \frac{- 11 + 2 34}{6}, x = - \frac{11 + 2 34}{6}

作图

流行的例子

6 x^{2} + 96 x - 264 = 0

8 x^{2} + 96 = 0

6 y^{2} + 22 y + 12 = 5 y

3 x^{2} - 10 x + 1 = 0

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

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