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人気のある代数 >

12-(x-1)^2=x^2+1

解

12 - (x - 1)^{2} = x^{2} + 1

解

x = - \frac{- 1 + 21}{2}, x = \frac{1 + 21}{2}

+1

十進法表記

x = - 1.79128 \dots, x = 2.79128 \dots

解答ステップ

12 - (x - 1)^{2} = x^{2} + 1

拡張

12 - (x - 1)^{2} : - x^{2} + 2 x + 11

- x^{2} + 2 x + 11 = x^{2} + 1

1

を左側に移動します

- x^{2} + 2 x + 10 = x^{2}

x^{2}

を左側に移動します

- 2 x^{2} + 2 x + 10 = 0

解くとthe二次式

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 2 ) \cdot 10}{2 ( - 2 )}

2^{2} - 4 (- 2) \cdot 10 = 221

x_{1, 2} = \frac{- 2 \pm 2 21}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- 2 + 2 21}{2 ( - 2 )}, x_{2} = \frac{- 2 - 2 21}{2 ( - 2 )}

x = \frac{- 2 + 2 21}{2 ( - 2 )} : - \frac{- 1 + 21}{2}

x = \frac{- 2 - 2 21}{2 ( - 2 )} : \frac{1 + 21}{2}

二次equationの解:

x = - \frac{- 1 + 21}{2}, x = \frac{1 + 21}{2}

グラフ

人気の例

10d^2+15d-25=6d^2

10 d^{2} + 15 d - 25 = 6 d^{2}

solvefor x,(x-a)^2+(y-b)^2=r^2

so l v e f or x, (x - a)^{2} + (y - b)^{2} = r^{2}

x^{2} + x = e

solvefor x,3x^2-6x-3y^2+3=0

so l v e f or x, 3 x^{2} - 6 x - 3 y^{2} + 3 = 0

x^{2} + 4 x - 65 = 4 x - 1