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人気のある代数 >

abx^2-(b-2a)x-2=0

解

ab x^{2} - (b - 2 a) x - 2 = 0

解

x = \frac{1}{a}, x = - \frac{2}{b}; ab \neq = 0

解答ステップ

ab x^{2} - (b - 2 a) x - 2 = 0

拡張

ab x^{2} - (b - 2 a) x - 2 : ab x^{2} - b x + 2 a x - 2

ab x^{2} - b x + 2 a x - 2 = 0

標準的な形式で書く

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

ab x^{2} + (- b + 2 a) x - 2 = 0

解くとthe二次式

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

簡素化

(- b + 2 a)^{2} - 4 ab (- 2) : 2 a + b

x_{1, 2} = \frac{- ( - b + 2 a ) \pm ( 2 a + b )}{2 ab}; ab \neq = 0

解を分離する

x_{1} = \frac{- ( - b + 2 a ) + 2 a + b}{2 ab}, x_{2} = \frac{- ( - b + 2 a ) - ( 2 a + b )}{2 ab}

x = \frac{- ( - b + 2 a ) + 2 a + b}{2 ab} : \frac{1}{a}

x = \frac{- ( - b + 2 a ) - ( 2 a + b )}{2 ab} : - \frac{2}{b}

二次equationの解:

x = \frac{1}{a}, x = - \frac{2}{b}; ab \neq = 0

グラフ

人気の例

x^{2} - 3 = 0

solvefor x,36x^2+64y^2+360x-512y+1924=0

so l v e f or x, 36 x^{2} + 64 y^{2} + 360 x - 512 y + 1924 = 0

x^{2} + 8 x + 9 = - 9

x^{2} + 50 x + 336 = 0

(x - 3)^{2} = x - 1