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受欢迎的代数 >

183000x^2-1400000x-22912000=0

解答

183000 x^{2} - 1400000 x - 22912000 = 0

解答

x = \frac{2864}{183}, x = - 8

+1

十进制

x = 15.65027 \dots, x = - 8

求解步骤

183000 x^{2} - 1400000 x - 22912000 = 0

两边除以

183000

\frac{183000 x ^{2}}{183000} - \frac{1400000 x}{183000} - \frac{22912000}{183000} = \frac{0}{183000}

改写成标准形式

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

x^{2} - \frac{1400 x}{183} - \frac{22912}{183} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - \frac{1400}{183} ) \pm ( - \frac{1400}{183} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{22912}{183} )}{2 \cdot 1}

(- \frac{1400}{183})^{2} - 4 \cdot 1 \cdot (- \frac{22912}{183}) = \frac{4328}{183}

x_{1, 2} = \frac{- ( - \frac{1400}{183} ) \pm \frac{4328}{183}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - \frac{1400}{183} ) + \frac{4328}{183}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{1400}{183} ) - \frac{4328}{183}}{2 \cdot 1}

x = \frac{- ( - \frac{1400}{183} ) + \frac{4328}{183}}{2 \cdot 1} : \frac{2864}{183}

x = \frac{- ( - \frac{1400}{183} ) - \frac{4328}{183}}{2 \cdot 1} : - 8

二次方程组的解是:

x = \frac{2864}{183}, x = - 8

作图

流行的例子

24 x^{2} - 3 x - 11 = 0

solvefor x,z=yx^2z^2-xy^4+xy

so l v e f or x, z = y x^{2} z^{2} - x y^{4} + x y

y^2=sqrt((4430523)^2+(3166128)^2)

y^{2} = (4430523)^{2} + (3166128)^{2}

15 x^{2} - 23 x - 10 = 0

solvefor x,4x^2+y^2+z^2=1

so l v e f or x, 4 x^{2} + y^{2} + z^{2} = 1