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人気のある代数 >

-4.9r^2-120r+90=0

解

- 4.9 r^{2} - 120 r + 90 = 0

解

r = - \frac{30 ( 20 + 449 )}{49}, r = \frac{30 ( 449 - 20 )}{49}

+1

十進法表記

r = - 25.21813 \dots, r = 0.72833 \dots

解答ステップ

- 4.9 r^{2} - 120 r + 90 = 0

以下で両辺を乗じる:

10

- 49 r^{2} - 1200 r + 900 = 0

解くとthe二次式

r_{1, 2} = \frac{- ( - 1200 ) \pm ( - 1200 ) ^{2} - 4 ( - 49 ) \cdot 900}{2 ( - 49 )}

(- 1200)^{2} - 4 (- 49) \cdot 900 = 60449

r_{1, 2} = \frac{- ( - 1200 ) \pm 60 449}{2 ( - 49 )}

解を分離する

r_{1} = \frac{- ( - 1200 ) + 60 449}{2 ( - 49 )}, r_{2} = \frac{- ( - 1200 ) - 60 449}{2 ( - 49 )}

r = \frac{- ( - 1200 ) + 60 449}{2 ( - 49 )} : - \frac{30 ( 20 + 449 )}{49}

r = \frac{- ( - 1200 ) - 60 449}{2 ( - 49 )} : \frac{30 ( 449 - 20 )}{49}

二次equationの解:

r = - \frac{30 ( 20 + 449 )}{49}, r = \frac{30 ( 449 - 20 )}{49}

グラフ

人気の例

3 x^{2} - 8 x + 15 = 0

3 (x - 2)^{2} - 8 = 5

10 y^{2} - 12 y - 16 = 0

9 x^{2} - 18 x - 40 = 0

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