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人気のある代数 >

(2x-3)^2-(3x+1)(3x-1)=(x-7)(x+2)+24

解

(2 x - 3)^{2} - (3 x + 1) (3 x - 1) = (x - 7) (x + 2) + 24

解

x = - \frac{7}{6}, x = 0

+1

十進法表記

x = - 1.16666 \dots, x = 0

解答ステップ

(2 x - 3)^{2} - (3 x + 1) (3 x - 1) = (x - 7) (x + 2) + 24

拡張

(2 x - 3)^{2} - (3 x + 1) (3 x - 1) : - 5 x^{2} - 12 x + 10

拡張

(x - 7) (x + 2) + 24 : x^{2} - 5 x + 10

- 5 x^{2} - 12 x + 10 = x^{2} - 5 x + 10

10

を左側に移動します

- 5 x^{2} - 12 x = x^{2} - 5 x

5 x

を左側に移動します

- 5 x^{2} - 7 x = x^{2}

x^{2}

を左側に移動します

- 6 x^{2} - 7 x = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 ( - 6 ) \cdot 0}{2 ( - 6 )}

(- 7)^{2} - 4 (- 6) \cdot 0 = 7

x_{1, 2} = \frac{- ( - 7 ) \pm 7}{2 ( - 6 )}

解を分離する

x_{1} = \frac{- ( - 7 ) + 7}{2 ( - 6 )}, x_{2} = \frac{- ( - 7 ) - 7}{2 ( - 6 )}

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

x = \frac{- ( - 7 ) - 7}{2 ( - 6 )} : 0

二次equationの解:

x = - \frac{7}{6}, x = 0

グラフ

人気の例

1/2 x^2-x-1=-x+1

\frac{1}{2} x^{2} - x - 1 = - x + 1

13t^2-8t+1=-3t^2

13 t^{2} - 8 t + 1 = - 3 t^{2}

solvefor x,x^2+y^2+(z-2)^2=4

so l v e f or x, x^{2} + y^{2} + (z - 2)^{2} = 4

x^{2} - 6 x = - 3 x + 28

s^{2} + 12 s + 936 = 0