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人気のある代数 >

2(x-3)(4x-1)=(4x-6)^2-4(6+x)

解

2 (x - 3) (4 x - 1) = (4 x - 6)^{2} - 4 (6 + x)

解

x = \frac{1}{4}, x = 3

+1

十進法表記

x = 0.25, x = 3

解答ステップ

2 (x - 3) (4 x - 1) = (4 x - 6)^{2} - 4 (6 + x)

拡張

2 (x - 3) (4 x - 1) : 8 x^{2} - 26 x + 6

拡張

(4 x - 6)^{2} - 4 (6 + x) : 16 x^{2} - 52 x + 12

8 x^{2} - 26 x + 6 = 16 x^{2} - 52 x + 12

12

を左側に移動します

8 x^{2} - 26 x - 6 = 16 x^{2} - 52 x

52 x

を左側に移動します

8 x^{2} + 26 x - 6 = 16 x^{2}

16 x^{2}

を左側に移動します

- 8 x^{2} + 26 x - 6 = 0

解くとthe二次式

x_{1, 2} = \frac{- 26 \pm 2 6 ^{2} - 4 ( - 8 ) ( - 6 )}{2 ( - 8 )}

2 6^{2} - 4 (- 8) (- 6) = 22

x_{1, 2} = \frac{- 26 \pm 22}{2 ( - 8 )}

解を分離する

x_{1} = \frac{- 26 + 22}{2 ( - 8 )}, x_{2} = \frac{- 26 - 22}{2 ( - 8 )}

x = \frac{- 26 + 22}{2 ( - 8 )} : \frac{1}{4}

x = \frac{- 26 - 22}{2 ( - 8 )} : 3

二次equationの解:

x = \frac{1}{4}, x = 3

グラフ

人気の例

solvefor x,8x^2+9y^2+288=0

so l v e f or x, 8 x^{2} + 9 y^{2} + 288 = 0

x^{2} - 2 x + 2 = 2 x

12 x^{2} = 3 x

e^{2} + 6 e + 12 = 0

- X (2 X - 1) = 0