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人気のある代数 >

316.22=(47116+0.6x)^2+(0.8x)^2

解

316.22 = (47116 + 0.6 x)^{2} + (0.8 x)^{2}

解

x = - \frac{56539.2}{2} + i \frac{- 56539. 2 ^{2} + 8879668559.12}{2}, x = - \frac{56539.2}{2} - i \frac{- 56539. 2 ^{2} + 8879668559.12}{2}

解答ステップ

316.22 = (47116 + 0.6 x)^{2} + (0.8 x)^{2}

拡張

(47116 + 0.6 x)^{2} + (0.8 x)^{2} : 2219917456 + 56539.2 x + x^{2}

316.22 = 2219917456 + 56539.2 x + x^{2}

辺を交換する

2219917456 + 56539.2 x + x^{2} = 316.22

316.22

を左側に移動します

x^{2} + 56539.2 x + 2219917139.78 = 0

解くとthe二次式

x_{1, 2} = \frac{- 56539.2 \pm 56539. 2 ^{2} - 4 \cdot 1 \cdot 2219917139.78}{2 \cdot 1}

簡素化

56539. 2^{2} - 4 \cdot 1 \cdot 2219917139.78 : i - 56539. 2^{2} + 8879668559.12

x_{1, 2} = \frac{- 56539.2 \pm i - 56539. 2 ^{2} + 8879668559.12}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 56539.2 + i - 56539. 2 ^{2} + 8879668559.12}{2 \cdot 1}, x_{2} = \frac{- 56539.2 - i - 56539. 2 ^{2} + 8879668559.12}{2 \cdot 1}

x = \frac{- 56539.2 + i - 56539. 2 ^{2} + 8879668559.12}{2 \cdot 1} : - \frac{56539.2}{2} + i \frac{- 56539. 2 ^{2} + 8879668559.12}{2}

x = \frac{- 56539.2 - i - 56539. 2 ^{2} + 8879668559.12}{2 \cdot 1} : - \frac{56539.2}{2} - i \frac{- 56539. 2 ^{2} + 8879668559.12}{2}

二次equationの解:

x = - \frac{56539.2}{2} + i \frac{- 56539. 2 ^{2} + 8879668559.12}{2}, x = - \frac{56539.2}{2} - i \frac{- 56539. 2 ^{2} + 8879668559.12}{2}

グラフ

人気の例

a^{2} = - 9

(2 x - 3)^{2} - 25 = 0

2 x + 2 x^{2} = 2

solvefor y,y^2=4+4/9 x^2

so l v e f or y, y^{2} = 4 + \frac{4}{9} x^{2}

5 x^{2} + 12 x + 5 = 0