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人気のある代数 >

x^2-(2+sqrt(5))x+(2*sqrt(5))=0

解

x^{2} - (2 + 5) x + (2 \cdot 5) = 0

解

x = 5, x = 2

+1

十進法表記

x = 2.23606 \dots, x = 2

解答ステップ

x^{2} - (2 + 5) x + (25) = 0

拡張

x^{2} - (2 + 5) x + (25) : x^{2} - 2 x - 5 x + 25

x^{2} - 2 x - 5 x + 25 = 0

標準的な形式で書く

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

x^{2} - (2 + 5) x + 25 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 2 - 5 ) \pm ( - 2 - 5 ) ^{2} - 4 \cdot 1 \cdot 2 5}{2 \cdot 1}

(- 2 - 5)^{2} - 4 \cdot 1 \cdot 25 = 5 - 2

x_{1, 2} = \frac{- ( - 2 - 5 ) \pm ( 5 - 2 )}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 2 - 5 ) + 5 - 2}{2 \cdot 1}, x_{2} = \frac{- ( - 2 - 5 ) - ( 5 - 2 )}{2 \cdot 1}

x = \frac{- ( - 2 - 5 ) + 5 - 2}{2 \cdot 1} : 5

x = \frac{- ( - 2 - 5 ) - ( 5 - 2 )}{2 \cdot 1} : 2

二次equationの解:

x = 5, x = 2

グラフ

人気の例

1 = x^{2} - 1

316.22=(47116+0.6x)^2+(0.8x)^2

316.22 = (47116 + 0.6 x)^{2} + (0.8 x)^{2}

a^{2} = - 9

(2 x - 3)^{2} - 25 = 0

2 x + 2 x^{2} = 2