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人気のある代数 >

(a+1)x^2+4ax=8x-2a

解

(a + 1) x^{2} + 4 a x = 8 x - 2 a

解

x = \frac{- 4 a + 8 + 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}, x = \frac{- 4 a + 8 - 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}; a \neq = - 1

解答ステップ

(a + 1) x^{2} + 4 a x = 8 x - 2 a

2 a

を左側に移動します

(a + 1) x^{2} + 4 a x + 2 a = 8 x

8 x

を左側に移動します

(a + 1) x^{2} + 4 a x + 2 a - 8 x = 0

標準的な形式で書く

a x^{2} + b x + c = 0

(a + 1) x^{2} + (4 a - 8) x + 2 a = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 4 a - 8 ) \pm ( 4 a - 8 ) ^{2} - 4 ( a + 1 ) \cdot 2 a}{2 ( a + 1 )}

簡素化

(4 a - 8)^{2} - 4 (a + 1) \cdot 2 a : 8 a^{2} - 72 a + 64

x_{1, 2} = \frac{- ( 4 a - 8 ) \pm 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}; a \neq = - 1

解を分離する

x_{1} = \frac{- ( 4 a - 8 ) + 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}, x_{2} = \frac{- ( 4 a - 8 ) - 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}

x = \frac{- ( 4 a - 8 ) + 8 a ^{2} - 72 a + 64}{2 ( a + 1 )} : \frac{- 4 a + 8 + 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}

x = \frac{- ( 4 a - 8 ) - 8 a ^{2} - 72 a + 64}{2 ( a + 1 )} : \frac{- 4 a + 8 - 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}

二次equationの解:

x = \frac{- 4 a + 8 + 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}, x = \frac{- 4 a + 8 - 8 a ^{2} - 72 a + 64}{2 ( a + 1 )}; a \neq = - 1

グラフ

人気の例

2 0^{2} = x^{2} + 1 3^{2}

8 x^{2} + 48 x + 5 = 0

48 = - 16 t^{2} + 96 t

- 2 x^{2} + 8 x - 10 = 0

(8 x + 1)^{2} = 4