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人気のある代数 >

8-(x+4)^2=4-(0.5x+1.8)^2

解

8 - (x + 4)^{2} = 4 - (0.5 x + 1.8)^{2}

解

x = - \frac{6.2 + 12.16}{1.5}, x = - \frac{6.2 - 12.16}{1.5}

+1

十進法表記

x = - 6.45807 \dots, x = - 1.80858 \dots

解答ステップ

8 - (x + 4)^{2} = 4 - (0.5 x + 1.8)^{2}

拡張

8 - (x + 4)^{2} : - x^{2} - 8 x - 8

拡張

4 - (0.5 x + 1.8)^{2} : - 0.25 x^{2} - 1.8 x + 0.76

- x^{2} - 8 x - 8 = - 0.25 x^{2} - 1.8 x + 0.76

0.76

を左側に移動します

- x^{2} - 8 x - 8.76 = - 0.25 x^{2} - 1.8 x

1.8 x

を左側に移動します

- x^{2} - 6.2 x - 8.76 = - 0.25 x^{2}

0.25 x^{2}

を左側に移動します

- 0.75 x^{2} - 6.2 x - 8.76 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6.2 ) \pm ( - 6.2 ) ^{2} - 4 ( - 0.75 ) ( - 8.76 )}{2 ( - 0.75 )}

(- 6.2)^{2} - 4 (- 0.75) (- 8.76) = 12.16

x_{1, 2} = \frac{- ( - 6.2 ) \pm 12.16}{2 ( - 0.75 )}

解を分離する

x_{1} = \frac{- ( - 6.2 ) + 12.16}{2 ( - 0.75 )}, x_{2} = \frac{- ( - 6.2 ) - 12.16}{2 ( - 0.75 )}

x = \frac{- ( - 6.2 ) + 12.16}{2 ( - 0.75 )} : - \frac{6.2 + 12.16}{1.5}

x = \frac{- ( - 6.2 ) - 12.16}{2 ( - 0.75 )} : - \frac{6.2 - 12.16}{1.5}

二次equationの解:

x = - \frac{6.2 + 12.16}{1.5}, x = - \frac{6.2 - 12.16}{1.5}

グラフ

人気の例

(2 x) x - 1 = 4

9 x^{2} + 18 x + 14 = 0

- x^{2} + 4 x = 3

c^{2} = 5

64 x^{2} + 16 x + 1 = 28