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受欢迎的代数 >

solvefor x,1000000x^2-6200x+9=0

解答

x, 1000000 x^{2} - 6200 x + 9 = 0

解答

x = \frac{31 + 61}{10000}, x = \frac{31 - 61}{10000}

+1

十进制

x = 0.00388 \dots, x = 0.00231 \dots

求解步骤

1000000 x^{2} - 6200 x + 9 = 0

两边除以

1000000

\frac{1000000 x ^{2}}{1000000} - \frac{6200 x}{1000000} + \frac{9}{1000000} = \frac{0}{1000000}

改写成标准形式

a x^{2} + b x + c = 0

x^{2} - \frac{31 x}{5000} + \frac{9}{1000000} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - \frac{31}{5000} ) \pm ( - \frac{31}{5000} ) ^{2} - 4 \cdot 1 \cdot \frac{9}{1000000}}{2 \cdot 1}

(- \frac{31}{5000})^{2} - 4 \cdot 1 \cdot \frac{9}{1000000} = \frac{61}{5000}

x_{1, 2} = \frac{- ( - \frac{31}{5000} ) \pm \frac{61}{5000}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - \frac{31}{5000} ) + \frac{61}{5000}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{31}{5000} ) - \frac{61}{5000}}{2 \cdot 1}

x = \frac{- ( - \frac{31}{5000} ) + \frac{61}{5000}}{2 \cdot 1} : \frac{31 + 61}{10000}

x = \frac{- ( - \frac{31}{5000} ) - \frac{61}{5000}}{2 \cdot 1} : \frac{31 - 61}{10000}

二次方程组的解是:

x = \frac{31 + 61}{10000}, x = \frac{31 - 61}{10000}

作图

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