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人気のある代数 >

4.5x^2=2.5(x+0.5)^2

解

4.5 x^{2} = 2.5 (x + 0.5)^{2}

解

x = - \frac{- 2.5 + 11.25}{4}, x = \frac{2.5 + 11.25}{4}

+1

十進法表記

x = - 0.21352 \dots, x = 1.46352 \dots

解答ステップ

4.5 x^{2} = 2.5 (x + 0.5)^{2}

拡張

2.5 (x + 0.5)^{2} : 2.5 x^{2} + 2.5 x + 0.625

4.5 x^{2} = 2.5 x^{2} + 2.5 x + 0.625

辺を交換する

2.5 x^{2} + 2.5 x + 0.625 = 4.5 x^{2}

4.5 x^{2}

を左側に移動します

- 2 x^{2} + 2.5 x + 0.625 = 0

解くとthe二次式

x_{1, 2} = \frac{- 2.5 \pm 2. 5 ^{2} - 4 ( - 2 ) \cdot 0.625}{2 ( - 2 )}

2. 5^{2} - 4 (- 2) \cdot 0.625 = 11.25

x_{1, 2} = \frac{- 2.5 \pm 11.25}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- 2.5 + 11.25}{2 ( - 2 )}, x_{2} = \frac{- 2.5 - 11.25}{2 ( - 2 )}

x = \frac{- 2.5 + 11.25}{2 ( - 2 )} : - \frac{- 2.5 + 11.25}{4}

x = \frac{- 2.5 - 11.25}{2 ( - 2 )} : \frac{2.5 + 11.25}{4}

二次equationの解:

x = - \frac{- 2.5 + 11.25}{4}, x = \frac{2.5 + 11.25}{4}

グラフ

人気の例

x^{2} + 27 = 12 x

solvefor x,x^2+xy-y^2=-5

so l v e f or x, x^{2} + x y - y^{2} = - 5

solvefor x,(x-5)(3x+2)=0

so l v e f or x, (x - 5) (3 x + 2) = 0

4 x^{2} - 2 x - 11 = 0

solvefor y=x^2-3x+2,x

so l v e f or y = x^{2} - 3 x + 2, x