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人気のある代数 >

-4.9x^2+10x+20=0

解

- 4.9 x^{2} + 10 x + 20 = 0

解

x = - \frac{10 ( 123 - 5 )}{49}, x = \frac{10 ( 5 + 123 )}{49}

+1

十進法表記

x = - 1.24296 \dots, x = 3.28378 \dots

解答ステップ

- 4.9 x^{2} + 10 x + 20 = 0

以下で両辺を乗じる:

10

- 49 x^{2} + 100 x + 200 = 0

解くとthe二次式

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 ( - 49 ) \cdot 200}{2 ( - 49 )}

10 0^{2} - 4 (- 49) \cdot 200 = 20123

x_{1, 2} = \frac{- 100 \pm 20 123}{2 ( - 49 )}

解を分離する

x_{1} = \frac{- 100 + 20 123}{2 ( - 49 )}, x_{2} = \frac{- 100 - 20 123}{2 ( - 49 )}

x = \frac{- 100 + 20 123}{2 ( - 49 )} : - \frac{10 ( 123 - 5 )}{49}

x = \frac{- 100 - 20 123}{2 ( - 49 )} : \frac{10 ( 5 + 123 )}{49}

二次equationの解:

x = - \frac{10 ( 123 - 5 )}{49}, x = \frac{10 ( 5 + 123 )}{49}

グラフ

人気の例

completesquare 5x^2+3x-4

co m pl e t es q u a re 5 x^{2} + 3 x - 4

completesquare x^2+10

co m pl e t es q u a re x^{2} + 10

17 = b^{2}

- 10 x^{2} - 7 x + 12 = 0

6x^2-7x-3=-8x-1

6 x^{2} - 7 x - 3 = - 8 x - 1