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人気のある代数 >

3000(1+r)^2+2000(1+r)=5895.25

解

3000 (1 + r)^{2} + 2000 (1 + r) = 5895.25

解

r = \frac{- 800000 + 80000 0 ^{2} + 107430000000}{600000}, r = \frac{- 800000 - 80000 0 ^{2} + 107430000000}{600000}

+1

十進法表記

r = 0.10756 \dots, r = - 2.77423 \dots

解答ステップ

3000 (1 + r)^{2} + 2000 (1 + r) = 5895.25

以下で両辺を乗じる:

100

300000 (1 + r)^{2} + 200000 (1 + r) = 589525

拡張

300000 (1 + r)^{2} + 200000 (1 + r) : 300000 r^{2} + 800000 r + 500000

300000 r^{2} + 800000 r + 500000 = 589525

589525

を左側に移動します

300000 r^{2} + 800000 r - 89525 = 0

解くとthe二次式

r_{1, 2} = \frac{- 800000 \pm 80000 0 ^{2} - 4 \cdot 300000 ( - 89525 )}{2 \cdot 300000}

80000 0^{2} - 4 \cdot 300000 (- 89525) = 80000 0^{2} + 107430000000

r_{1, 2} = \frac{- 800000 \pm 80000 0 ^{2} + 107430000000}{2 \cdot 300000}

解を分離する

r_{1} = \frac{- 800000 + 80000 0 ^{2} + 107430000000}{2 \cdot 300000}, r_{2} = \frac{- 800000 - 80000 0 ^{2} + 107430000000}{2 \cdot 300000}

r = \frac{- 800000 + 80000 0 ^{2} + 107430000000}{2 \cdot 300000} : \frac{- 800000 + 80000 0 ^{2} + 107430000000}{600000}

r = \frac{- 800000 - 80000 0 ^{2} + 107430000000}{2 \cdot 300000} : \frac{- 800000 - 80000 0 ^{2} + 107430000000}{600000}

二次equationの解:

r = \frac{- 800000 + 80000 0 ^{2} + 107430000000}{600000}, r = \frac{- 800000 - 80000 0 ^{2} + 107430000000}{600000}

グラフ

人気の例

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