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人気のある代数 >

x^2+x-(a+1)(a+2)=0

解

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

解

x = a + 1, x = - a - 2

解答ステップ

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

拡張

x^{2} + x - (a + 1) (a + 2) : x^{2} + x - a^{2} - 3 a - 2

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

解くとthe二次式

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

簡素化

1^{2} - 4 \cdot 1 \cdot (- a^{2} - 3 a - 2) : 2 a + 3

x_{1, 2} = \frac{- 1 \pm ( 2 a + 3 )}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 1 + 2 a + 3}{2 \cdot 1}, x_{2} = \frac{- 1 - ( 2 a + 3 )}{2 \cdot 1}

x = \frac{- 1 + 2 a + 3}{2 \cdot 1} : a + 1

x = \frac{- 1 - ( 2 a + 3 )}{2 \cdot 1} : - a - 2

二次equationの解:

x = a + 1, x = - a - 2

グラフ

人気の例

eln(e)(x^2-3)=2x

e ln (e) (x^{2} - 3) = 2 x

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

\frac{x}{6} + \frac{x ^{2}}{2} = 2 \frac{x}{3}

solvefor x,x^2+2y^2-y-2z=0

so l v e f or x, x^{2} + 2 y^{2} - y - 2 z = 0

solvefor a,(a+b)1+a^2=c^6

so l v e f or a, (a + b) 1 + a^{2} = c^{6}

solvefor k,p^2+q^2=k^2

so l v e f or k, p^{2} + q^{2} = k^{2}