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人気のある代数 >

ax^2+ax+7=3x^2-x+5a

解

a x^{2} + a x + 7 = 3 x^{2} - x + 5 a

解

x = \frac{- a - 1 + 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}, x = \frac{- a - 1 - 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}; a \neq = 3

解答ステップ

a x^{2} + a x + 7 = 3 x^{2} - x + 5 a

5 a

を左側に移動します

a x^{2} + a x + 7 - 5 a = 3 x^{2} - x

x

を左側に移動します

a x^{2} + a x + 7 - 5 a + x = 3 x^{2}

3 x^{2}

を左側に移動します

a x^{2} + a x + 7 - 5 a + x - 3 x^{2} = 0

標準的な形式で書く

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

(a - 3) x^{2} + (a + 1) x + 7 - 5 a = 0

解くとthe二次式

x_{1, 2} = \frac{- ( a + 1 ) \pm ( a + 1 ) ^{2} - 4 ( a - 3 ) ( 7 - 5 a )}{2 ( a - 3 )}

簡素化

(a + 1)^{2} - 4 (a - 3) (7 - 5 a) : 21 a^{2} - 86 a + 85

x_{1, 2} = \frac{- ( a + 1 ) \pm 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}; a \neq = 3

解を分離する

x_{1} = \frac{- ( a + 1 ) + 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}, x_{2} = \frac{- ( a + 1 ) - 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}

x = \frac{- ( a + 1 ) + 21 a ^{2} - 86 a + 85}{2 ( a - 3 )} : \frac{- a - 1 + 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}

x = \frac{- ( a + 1 ) - 21 a ^{2} - 86 a + 85}{2 ( a - 3 )} : \frac{- a - 1 - 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}

二次equationの解:

x = \frac{- a - 1 + 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}, x = \frac{- a - 1 - 21 a ^{2} - 86 a + 85}{2 ( a - 3 )}; a \neq = 3

グラフ

人気の例

mnx^2-(m^2-n^2)x+mn=0

mn x^{2} - (m^{2} - n^{2}) x + mn = 0

5 x^{2} + 7 x - 8 = 0

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

(x - 2) \cdot (x - 5) = 0

solvefor x,3x^2-7x=-2

so l v e f or x, 3 x^{2} - 7 x = - 2