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人気のある代数 >

ax^2+bx-1+x=0

解

a x^{2} + b x - 1 + x = 0

解

x = \frac{- b - 1 + ( b + 1 ) ^{2} + 4 a}{2 a}, x = \frac{- b - 1 - ( b + 1 ) ^{2} + 4 a}{2 a}; a \neq = 0

解答ステップ

a x^{2} + b x - 1 + x = 0

標準的な形式で書く

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

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

解くとthe二次式

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

簡素化

(b + 1)^{2} - 4 a (- 1) : (b + 1)^{2} + 4 a

x_{1, 2} = \frac{- ( b + 1 ) \pm ( b + 1 ) ^{2} + 4 a}{2 a}; a \neq = 0

解を分離する

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

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

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

二次equationの解:

x = \frac{- b - 1 + ( b + 1 ) ^{2} + 4 a}{2 a}, x = \frac{- b - 1 - ( b + 1 ) ^{2} + 4 a}{2 a}; a \neq = 0

グラフ

人気の例

2 w^{2} - 11 w - 40 = 0

12 x^{2} + 37 x + 28 = 0

(x+6)^2=(x+3)^2+x^2

(x + 6)^{2} = (x + 3)^{2} + x^{2}

- 2 x^{2} + 3 x + 14 = 0

6 y^{2} - y + 6 = 0