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人気のある代数 >

(2x+1)^2=(5x-1)(5x+1)

解

(2 x + 1)^{2} = (5 x - 1) (5 x + 1)

解

x = - \frac{- 2 + 46}{21}, x = \frac{2 + 46}{21}

+1

十進法表記

x = - 0.22772 \dots, x = 0.41820 \dots

解答ステップ

(2 x + 1)^{2} = (5 x - 1) (5 x + 1)

拡張

(2 x + 1)^{2} : 4 x^{2} + 4 x + 1

拡張

(5 x - 1) (5 x + 1) : 25 x^{2} - 1

4 x^{2} + 4 x + 1 = 25 x^{2} - 1

1

を左側に移動します

4 x^{2} + 4 x + 2 = 25 x^{2}

25 x^{2}

を左側に移動します

- 21 x^{2} + 4 x + 2 = 0

解くとthe二次式

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 21 ) \cdot 2}{2 ( - 21 )}

4^{2} - 4 (- 21) \cdot 2 = 246

x_{1, 2} = \frac{- 4 \pm 2 46}{2 ( - 21 )}

解を分離する

x_{1} = \frac{- 4 + 2 46}{2 ( - 21 )}, x_{2} = \frac{- 4 - 2 46}{2 ( - 21 )}

x = \frac{- 4 + 2 46}{2 ( - 21 )} : - \frac{- 2 + 46}{21}

x = \frac{- 4 - 2 46}{2 ( - 21 )} : \frac{2 + 46}{21}

二次equationの解:

x = - \frac{- 2 + 46}{21}, x = \frac{2 + 46}{21}

グラフ

人気の例

r^2=(sqrt(3))^2+(-1)^2

r^{2} = (3)^{2} + (- 1)^{2}

0.02(0.5x^2-x)=0,25

0.02 (0.5 x^{2} - x) = 0, 25

x^{2} - 7 x = - 3

5 p^{2} - 14 p = 24

x^2+(x+3)^2=225

x^{2} + (x + 3)^{2} = 225