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人気のある代数 >

X(1-0.59X)=0.14462

解

X \cdot (1 - 0.59 \cdot X) = 0.14462

解

X = \frac{1 - 0.6586968}{1.18}, X = \frac{1 + 0.6586968}{1.18}

+1

十進法表記

X = 0.15965 \dots, X = 1.53525 \dots

解答ステップ

X (1 - 0.59 X) = 0.14462

拡張

X (1 - 0.59 X) : X - 0.59 X^{2}

X - 0.59 X^{2} = 0.14462

0.14462

を左側に移動します

X - 0.59 X^{2} - 0.14462 = 0

標準的な形式で書く

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

- 0.59 X^{2} + X - 0.14462 = 0

解くとthe二次式

X_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 ( - 0.59 ) ( - 0.14462 )}{2 ( - 0.59 )}

1^{2} - 4 (- 0.59) (- 0.14462) = 0.6586968

X_{1, 2} = \frac{- 1 \pm 0.6586968}{2 ( - 0.59 )}

解を分離する

X_{1} = \frac{- 1 + 0.6586968}{2 ( - 0.59 )}, X_{2} = \frac{- 1 - 0.6586968}{2 ( - 0.59 )}

X = \frac{- 1 + 0.6586968}{2 ( - 0.59 )} : \frac{1 - 0.6586968}{1.18}

X = \frac{- 1 - 0.6586968}{2 ( - 0.59 )} : \frac{1 + 0.6586968}{1.18}

二次equationの解:

X = \frac{1 - 0.6586968}{1.18}, X = \frac{1 + 0.6586968}{1.18}

グラフ

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