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受欢迎的代数 >

x^2-1/3 x-2=0

解答

x^{2} - \frac{1}{3} x - 2 = 0

解答

x = \frac{1 + 73}{6}, x = \frac{1 - 73}{6}

+1

十进制

x = 1.59066 \dots, x = - 1.25733 \dots

求解步骤

x^{2} - \frac{1}{3} x - 2 = 0

在两边乘以

3

3 x^{2} - x - 6 = 0

使用求根公式求解

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

(- 1)^{2} - 4 \cdot 3 (- 6) = 73

x_{1, 2} = \frac{- ( - 1 ) \pm 73}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 73}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 73}{2 \cdot 3}

x = \frac{- ( - 1 ) + 73}{2 \cdot 3} : \frac{1 + 73}{6}

x = \frac{- ( - 1 ) - 73}{2 \cdot 3} : \frac{1 - 73}{6}

二次方程组的解是:

x = \frac{1 + 73}{6}, x = \frac{1 - 73}{6}

作图

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