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人気のある代数 >

y=4.905*((2-y)/(331))^2

解

y = 4.905 \cdot (\frac{2 - y}{331})^{2}

解

y = \frac{21916124 + 981 \frac{2191612 4 ^{2}}{962361} - 16}{1962}, y = \frac{21916124 - 981 \frac{2191612 4 ^{2}}{962361} - 16}{1962}

+1

十進法表記

y = 22340.59513 \dots, y = 0.00017 \dots

解答ステップ

y = 4.905 (\frac{2 - y}{331})^{2}

以下で両辺を乗じる:

1000

y \cdot 1000 = \frac{4905 ( 2 - y ) ^{2}}{109561}

以下で両辺を乗じる:

109561

109561000 y = 4905 (2 - y)^{2}

拡張

4905 (2 - y)^{2} : 19620 - 19620 y + 4905 y^{2}

109561000 y = 19620 - 19620 y + 4905 y^{2}

辺を交換する

19620 - 19620 y + 4905 y^{2} = 109561000 y

109561000 y

を左側に移動します

4905 y^{2} - 109580620 y + 19620 = 0

以下で両辺を割る

4905

\frac{4905 y ^{2}}{4905} - \frac{109580620 y}{4905} + \frac{19620}{4905} = \frac{0}{4905}

標準的な形式で書く

a x^{2} + b x + c = 0

y^{2} - \frac{21916124 y}{981} + 4 = 0

解くとthe二次式

y_{1, 2} = \frac{- ( - \frac{21916124}{981} ) \pm ( - \frac{21916124}{981} ) ^{2} - 4 \cdot 1 \cdot 4}{2 \cdot 1}

(- \frac{21916124}{981})^{2} - 4 \cdot 1 \cdot 4 = \frac{2191612 4 ^{2}}{962361} - 16

y_{1, 2} = \frac{- ( - \frac{21916124}{981} ) \pm \frac{2191612 4 ^{2}}{962361} - 16}{2 \cdot 1}

解を分離する

y_{1} = \frac{- ( - \frac{21916124}{981} ) + \frac{2191612 4 ^{2}}{962361} - 16}{2 \cdot 1}, y_{2} = \frac{- ( - \frac{21916124}{981} ) - \frac{2191612 4 ^{2}}{962361} - 16}{2 \cdot 1}

y = \frac{- ( - \frac{21916124}{981} ) + \frac{2191612 4 ^{2}}{962361} - 16}{2 \cdot 1} : \frac{21916124 + 981 \frac{2191612 4 ^{2}}{962361} - 16}{1962}

y = \frac{- ( - \frac{21916124}{981} ) - \frac{2191612 4 ^{2}}{962361} - 16}{2 \cdot 1} : \frac{21916124 - 981 \frac{2191612 4 ^{2}}{962361} - 16}{1962}

二次equationの解:

y = \frac{21916124 + 981 \frac{2191612 4 ^{2}}{962361} - 16}{1962}, y = \frac{21916124 - 981 \frac{2191612 4 ^{2}}{962361} - 16}{1962}

グラフ

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