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受欢迎的代数 >

5/3 x+(2x+1)(1/3 x-1)=0

解答

\frac{5}{3} x + (2 x + 1) (\frac{1}{3} x - 1) = 0

解答

x = \frac{3}{2}, x = - \frac{3}{2}

+1

十进制

x = 1.22474 \dots, x = - 1.22474 \dots

求解步骤

\frac{5}{3} x + (2 x + 1) (\frac{1}{3} x - 1) = 0

在两边乘以

3

5 x + 3 (2 x + 1) (\frac{1}{3} x - 1) = 0

展开

5 x + 3 (2 x + 1) (\frac{1}{3} x - 1) : 2 x^{2} - 3

2 x^{2} - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 2 ( - 3 )}{2 \cdot 2}

0^{2} - 4 \cdot 2 (- 3) = 26

x_{1, 2} = \frac{- 0 \pm 2 6}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 0 + 2 6}{2 \cdot 2}, x_{2} = \frac{- 0 - 2 6}{2 \cdot 2}

x = \frac{- 0 + 2 6}{2 \cdot 2} : \frac{3}{2}

x = \frac{- 0 - 2 6}{2 \cdot 2} : - \frac{3}{2}

二次方程组的解是:

x = \frac{3}{2}, x = - \frac{3}{2}

作图

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