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人気のある代数 >

(2a-6)x^2+ax+3a+1=16

解

(2 a - 6) x^{2} + a x + 3 a + 1 = 16

解

x = \frac{- a + - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}, x = \frac{- a - - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}; a \neq = 3

解答ステップ

(2 a - 6) x^{2} + a x + 3 a + 1 = 16

16

を左側に移動します

2 a x^{2} - 6 x^{2} + a x + 3 a - 15 = 0

標準的な形式で書く

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

(2 a - 6) x^{2} + a x + 3 a - 15 = 0

解くとthe二次式

x_{1, 2} = \frac{- a \pm a ^{2} - 4 ( 2 a - 6 ) ( 3 a - 15 )}{2 ( 2 a - 6 )}

簡素化

a^{2} - 4 (2 a - 6) (3 a - 15) : - 23 a^{2} + 192 a - 360

x_{1, 2} = \frac{- a \pm - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}; a \neq = 3

解を分離する

x_{1} = \frac{- a + - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}, x_{2} = \frac{- a - - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}

x = \frac{- a + - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}; a \neq = 3

x = \frac{- a - - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}; a \neq = 3

二次equationの解:

x = \frac{- a + - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}, x = \frac{- a - - 23 a ^{2} + 192 a - 360}{2 ( 2 a - 6 )}; a \neq = 3

グラフ

人気の例

36 x^{2} - 24 x = - 85

7 x^{2} - 13 + 6 = 0

completesquare 2x^2-4x+5

co m pl e t es q u a re 2 x^{2} - 4 x + 5

x^{2} + 4 x = x + 10

completesquare x^2+5x+9=0

co m pl e t es q u a re x^{2} + 5 x + 9 = 0