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人気のある代数 >

30x-0.24x^2=275+12x

解

30 x - 0.24 x^{2} = 275 + 12 x

解

x = \frac{25 ( 9 - 15 )}{6}, x = \frac{25 ( 9 + 15 )}{6}

+1

十進法表記

x = 21.36256 \dots, x = 53.63743 \dots

解答ステップ

30 x - 0.24 x^{2} = 275 + 12 x

以下で両辺を乗じる:

100

3000 x - 24 x^{2} = 27500 + 1200 x

1200 x

を左側に移動します

- 24 x^{2} + 1800 x = 27500

27500

を左側に移動します

- 24 x^{2} + 1800 x - 27500 = 0

解くとthe二次式

x_{1, 2} = \frac{- 1800 \pm 180 0 ^{2} - 4 ( - 24 ) ( - 27500 )}{2 ( - 24 )}

180 0^{2} - 4 (- 24) (- 27500) = 20015

x_{1, 2} = \frac{- 1800 \pm 200 15}{2 ( - 24 )}

解を分離する

x_{1} = \frac{- 1800 + 200 15}{2 ( - 24 )}, x_{2} = \frac{- 1800 - 200 15}{2 ( - 24 )}

x = \frac{- 1800 + 200 15}{2 ( - 24 )} : \frac{25 ( 9 - 15 )}{6}

x = \frac{- 1800 - 200 15}{2 ( - 24 )} : \frac{25 ( 9 + 15 )}{6}

二次equationの解:

x = \frac{25 ( 9 - 15 )}{6}, x = \frac{25 ( 9 + 15 )}{6}

グラフ

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