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受欢迎的代数 >

1010x^2+1009x-1008=0

解答

1010 x^{2} + 1009 x - 1008 = 0

解答

x = \frac{- 1009 + 5090401}{2020}, x = \frac{- 1009 - 5090401}{2020}

+1

十进制

x = 0.61742 \dots, x = - 1.61643 \dots

求解步骤

1010 x^{2} + 1009 x - 1008 = 0

两边除以

1010

\frac{1010 x ^{2}}{1010} + \frac{1009 x}{1010} - \frac{1008}{1010} = \frac{0}{1010}

改写成标准形式

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

x^{2} + \frac{1009 x}{1010} - \frac{504}{505} = 0

使用求根公式求解

x_{1, 2} = \frac{- \frac{1009}{1010} \pm ( \frac{1009}{1010} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{504}{505} )}{2 \cdot 1}

(\frac{1009}{1010})^{2} - 4 \cdot 1 \cdot (- \frac{504}{505}) = \frac{5090401}{1010}

x_{1, 2} = \frac{- \frac{1009}{1010} \pm \frac{5090401}{1010}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- \frac{1009}{1010} + \frac{5090401}{1010}}{2 \cdot 1}, x_{2} = \frac{- \frac{1009}{1010} - \frac{5090401}{1010}}{2 \cdot 1}

x = \frac{- \frac{1009}{1010} + \frac{5090401}{1010}}{2 \cdot 1} : \frac{- 1009 + 5090401}{2020}

x = \frac{- \frac{1009}{1010} - \frac{5090401}{1010}}{2 \cdot 1} : \frac{- 1009 - 5090401}{2020}

二次方程组的解是:

x = \frac{- 1009 + 5090401}{2020}, x = \frac{- 1009 - 5090401}{2020}

作图

流行的例子

- 7 = 2 x^{2} - 5

x = 2 x^{2} + 5

-0.2x^2-0.3x+1=0

- 0.2 x^{2} - 0.3 x + 1 = 0

- x^{2} - x = - 4

x (x + 7) = 14