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人気のある代数 >

a(x+b)-(x+a)^2=x^2

解

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

解

x = - \frac{a + - 7 a ^{2} + 8 ab}{4}, x = - \frac{a - - 7 a ^{2} + 8 ab}{4}

解答ステップ

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

拡張

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

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

x^{2}

を左側に移動します

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

解くとthe二次式

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

簡素化

(- a)^{2} - 4 (- 2) (- a^{2} + ab) : - 7 a^{2} + 8 ab

x_{1, 2} = \frac{- ( - a ) \pm - 7 a ^{2} + 8 ab}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - a ) + - 7 a ^{2} + 8 ab}{2 ( - 2 )}, x_{2} = \frac{- ( - a ) - - 7 a ^{2} + 8 ab}{2 ( - 2 )}

x = \frac{- ( - a ) + - 7 a ^{2} + 8 ab}{2 ( - 2 )} : - \frac{a + - 7 a ^{2} + 8 ab}{4}

x = \frac{- ( - a ) - - 7 a ^{2} + 8 ab}{2 ( - 2 )} : - \frac{a - - 7 a ^{2} + 8 ab}{4}

二次equationの解:

x = - \frac{a + - 7 a ^{2} + 8 ab}{4}, x = - \frac{a - - 7 a ^{2} + 8 ab}{4}

グラフ

人気の例

x^{2} - 16 x = - 55

因数 6x^2+5x=4

f a c t or 6 x^{2} + 5 x = 4

25 r^{2} + 3 = 4

4 x^{2} - 169 = 0

a^{2} + 2 a - 5 = 0