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人気のある代数 >

X^2250/2+400(X-100)=8.681271(550-X)

解

X^{2} \cdot \frac{250}{2} + 400 \cdot (X - 100) = 8.68 \cdot 1271 \cdot (550 - X)

解

X = \frac{- 1143228 + 114322 8 ^{2} + 3.05388 E 13}{25000}, X = \frac{- 1143228 - 114322 8 ^{2} + 3.05388 E 13}{25000}

+1

十進法表記

X = 179.99900 \dots, X = - 271.45724 \dots

解答ステップ

X^{2} \frac{250}{2} + 400 (X - 100) = 8.68 \cdot 1271 (550 - X)

以下で両辺を乗じる:

100

12500 X^{2} + 40000 (X - 100) = 1103228 (550 - X)

拡張

12500 X^{2} + 40000 (X - 100) : 12500 X^{2} + 40000 X - 4000000

拡張

1103228 (550 - X) : 606775400 - 1103228 X

12500 X^{2} + 40000 X - 4000000 = 606775400 - 1103228 X

1103228 X

を左側に移動します

12500 X^{2} + 1143228 X - 4000000 = 606775400

606775400

を左側に移動します

12500 X^{2} + 1143228 X - 610775400 = 0

解くとthe二次式

X_{1, 2} = \frac{- 1143228 \pm 114322 8 ^{2} - 4 \cdot 12500 ( - 610775400 )}{2 \cdot 12500}

114322 8^{2} - 4 \cdot 12500 (- 610775400) = 114322 8^{2} + 3.05388 E 13

X_{1, 2} = \frac{- 1143228 \pm 114322 8 ^{2} + 3.05388 E 13}{2 \cdot 12500}

解を分離する

X_{1} = \frac{- 1143228 + 114322 8 ^{2} + 3.05388 E 13}{2 \cdot 12500}, X_{2} = \frac{- 1143228 - 114322 8 ^{2} + 3.05388 E 13}{2 \cdot 12500}

X = \frac{- 1143228 + 114322 8 ^{2} + 3.05388 E 13}{2 \cdot 12500} : \frac{- 1143228 + 114322 8 ^{2} + 3.05388 E 13}{25000}

X = \frac{- 1143228 - 114322 8 ^{2} + 3.05388 E 13}{2 \cdot 12500} : \frac{- 1143228 - 114322 8 ^{2} + 3.05388 E 13}{25000}

二次equationの解:

X = \frac{- 1143228 + 114322 8 ^{2} + 3.05388 E 13}{25000}, X = \frac{- 1143228 - 114322 8 ^{2} + 3.05388 E 13}{25000}

グラフ

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