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人気のある代数 >

0=-4.9x^2+24.5x+9.5

解

0 = - 4.9 x^{2} + 24.5 x + 9.5

解

x = - \frac{- 35 + 1605}{14}, x = \frac{35 + 1605}{14}

+1

十進法表記

x = - 0.36160 \dots, x = 5.36160 \dots

解答ステップ

0 = - 4.9 x^{2} + 24.5 x + 9.5

以下で両辺を乗じる:

10

0 = - 49 x^{2} + 245 x + 95

辺を交換する

- 49 x^{2} + 245 x + 95 = 0

解くとthe二次式

x_{1, 2} = \frac{- 245 \pm 24 5 ^{2} - 4 ( - 49 ) \cdot 95}{2 ( - 49 )}

24 5^{2} - 4 (- 49) \cdot 95 = 71605

x_{1, 2} = \frac{- 245 \pm 7 1605}{2 ( - 49 )}

解を分離する

x_{1} = \frac{- 245 + 7 1605}{2 ( - 49 )}, x_{2} = \frac{- 245 - 7 1605}{2 ( - 49 )}

x = \frac{- 245 + 7 1605}{2 ( - 49 )} : - \frac{- 35 + 1605}{14}

x = \frac{- 245 - 7 1605}{2 ( - 49 )} : \frac{35 + 1605}{14}

二次equationの解:

x = - \frac{- 35 + 1605}{14}, x = \frac{35 + 1605}{14}

グラフ

人気の例

solvefor y,y^2=11y-28

so l v e f or y, y^{2} = 11 y - 28

1 0^{2} + x^{2} = 1 5^{2}

solvefor x,x^2=2y^2

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

11 e^{2} + 5 = 7 e

12 x = 2 x^{2}