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受欢迎的代数 >

x^2-20.8x+66.29=0

解答

x^{2} - 20.8 x + 66.29 = 0

解答

x = \frac{104 + 4187}{10}, x = \frac{104 - 4187}{10}

+1

十进制

x = 16.87070 \dots, x = 3.92929 \dots

求解步骤

x^{2} - 20.8 x + 66.29 = 0

在两边乘以

100

100 x^{2} - 2080 x + 6629 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2080 ) \pm ( - 2080 ) ^{2} - 4 \cdot 100 \cdot 6629}{2 \cdot 100}

(- 2080)^{2} - 4 \cdot 100 \cdot 6629 = 204187

x_{1, 2} = \frac{- ( - 2080 ) \pm 20 4187}{2 \cdot 100}

将解分隔开

x_{1} = \frac{- ( - 2080 ) + 20 4187}{2 \cdot 100}, x_{2} = \frac{- ( - 2080 ) - 20 4187}{2 \cdot 100}

x = \frac{- ( - 2080 ) + 20 4187}{2 \cdot 100} : \frac{104 + 4187}{10}

x = \frac{- ( - 2080 ) - 20 4187}{2 \cdot 100} : \frac{104 - 4187}{10}

二次方程组的解是:

x = \frac{104 + 4187}{10}, x = \frac{104 - 4187}{10}

作图

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