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人気のある代数 >

-4.9x^2+200x+150=0

解

- 4.9 x^{2} + 200 x + 150 = 0

解

x = - \frac{10 ( 10735 - 100 )}{49}, x = \frac{10 ( 100 + 10735 )}{49}

+1

十進法表記

x = - 0.73670 \dots, x = 41.55302 \dots

解答ステップ

- 4.9 x^{2} + 200 x + 150 = 0

以下で両辺を乗じる:

10

- 49 x^{2} + 2000 x + 1500 = 0

解くとthe二次式

x_{1, 2} = \frac{- 2000 \pm 200 0 ^{2} - 4 ( - 49 ) \cdot 1500}{2 ( - 49 )}

200 0^{2} - 4 (- 49) \cdot 1500 = 2010735

x_{1, 2} = \frac{- 2000 \pm 20 10735}{2 ( - 49 )}

解を分離する

x_{1} = \frac{- 2000 + 20 10735}{2 ( - 49 )}, x_{2} = \frac{- 2000 - 20 10735}{2 ( - 49 )}

x = \frac{- 2000 + 20 10735}{2 ( - 49 )} : - \frac{10 ( 10735 - 100 )}{49}

x = \frac{- 2000 - 20 10735}{2 ( - 49 )} : \frac{10 ( 100 + 10735 )}{49}

二次equationの解:

x = - \frac{10 ( 10735 - 100 )}{49}, x = \frac{10 ( 100 + 10735 )}{49}

グラフ

人気の例

4 x (x - 4) = 3

(x - 7)^{2} + 3 = 0

solvefor x,2x^2+5x-4=0

so l v e f or x, 2 x^{2} + 5 x - 4 = 0

3 x^{2} - 1 = 11

因数 y^2+9y-10=0

f a c t or y^{2} + 9 y - 10 = 0