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受欢迎的代数 >

2+24.5x-4.9x^2=0

解答

2 + 24.5 x - 4.9 x^{2} = 0

解答

x = - \frac{- 35 + 3 145}{14}, x = \frac{35 + 3 145}{14}

+1

十进制

x = - 0.08034 \dots, x = 5.08034 \dots

求解步骤

2 + 24.5 x - 4.9 x^{2} = 0

在两边乘以

10

20 + 245 x - 49 x^{2} = 0

改写成标准形式

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

- 49 x^{2} + 245 x + 20 = 0

使用求根公式求解

x_{1, 2} = \frac{- 245 \pm 24 5 ^{2} - 4 ( - 49 ) \cdot 20}{2 ( - 49 )}

24 5^{2} - 4 (- 49) \cdot 20 = 21145

x_{1, 2} = \frac{- 245 \pm 21 145}{2 ( - 49 )}

将解分隔开

x_{1} = \frac{- 245 + 21 145}{2 ( - 49 )}, x_{2} = \frac{- 245 - 21 145}{2 ( - 49 )}

x = \frac{- 245 + 21 145}{2 ( - 49 )} : - \frac{- 35 + 3 145}{14}

x = \frac{- 245 - 21 145}{2 ( - 49 )} : \frac{35 + 3 145}{14}

二次方程组的解是:

x = - \frac{- 35 + 3 145}{14}, x = \frac{35 + 3 145}{14}

作图

流行的例子

solvefor x,x^2-xy+y^2=19

so l v e f or x, x^{2} - x y + y^{2} = 19

x^{2} - 35 x = 0

s^2=(400)/(sqrt(3))

s^{2} = \frac{400}{3}

solvefor y,x^3+2y^2-xy=2

so l v e f or y, x^{3} + 2 y^{2} - x y = 2

solvefor x,x^2y+2xy-y^3=0

so l v e f or x, x^{2} y + 2 x y - y^{3} = 0