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人気のある代数 >

(2x+7)^2=16x^2

解

(2 x + 7)^{2} = 16 x^{2}

解

x = - \frac{7}{6}, x = \frac{7}{2}

+1

十進法表記

x = - 1.16666 \dots, x = 3.5

解答ステップ

(2 x + 7)^{2} = 16 x^{2}

拡張

(2 x + 7)^{2} : 4 x^{2} + 28 x + 49

4 x^{2} + 28 x + 49 = 16 x^{2}

16 x^{2}

を左側に移動します

- 12 x^{2} + 28 x + 49 = 0

解くとthe二次式

x_{1, 2} = \frac{- 28 \pm 2 8 ^{2} - 4 ( - 12 ) \cdot 49}{2 ( - 12 )}

2 8^{2} - 4 (- 12) \cdot 49 = 56

x_{1, 2} = \frac{- 28 \pm 56}{2 ( - 12 )}

解を分離する

x_{1} = \frac{- 28 + 56}{2 ( - 12 )}, x_{2} = \frac{- 28 - 56}{2 ( - 12 )}

x = \frac{- 28 + 56}{2 ( - 12 )} : - \frac{7}{6}

x = \frac{- 28 - 56}{2 ( - 12 )} : \frac{7}{2}

二次equationの解:

x = - \frac{7}{6}, x = \frac{7}{2}

グラフ

人気の例

x^{2} + x - 1 = 11

3 x - 4 x^{2} = - 5

2 x (x - 3) + 7 = 0

2 x^{2} + 4 x + 16 = 0

3 d^{2} + 8 d = 40