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人気のある代数 >

2x(x-2)=9

解

2 x (x - 2) = 9

解

x = \frac{2 + 22}{2}, x = \frac{2 - 22}{2}

+1

十進法表記

x = 3.34520 \dots, x = - 1.34520 \dots

解答ステップ

2 x (x - 2) = 9

拡張

2 x (x - 2) : 2 x^{2} - 4 x

2 x^{2} - 4 x = 9

9

を左側に移動します

2 x^{2} - 4 x - 9 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 2 ( - 9 )}{2 \cdot 2}

(- 4)^{2} - 4 \cdot 2 (- 9) = 222

x_{1, 2} = \frac{- ( - 4 ) \pm 2 22}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 4 ) + 2 22}{2 \cdot 2}, x_{2} = \frac{- ( - 4 ) - 2 22}{2 \cdot 2}

x = \frac{- ( - 4 ) + 2 22}{2 \cdot 2} : \frac{2 + 22}{2}

x = \frac{- ( - 4 ) - 2 22}{2 \cdot 2} : \frac{2 - 22}{2}

二次equationの解:

x = \frac{2 + 22}{2}, x = \frac{2 - 22}{2}

グラフ

人気の例

completesquare x^2-6x-8=0

co m pl e t es q u a re x^{2} - 6 x - 8 = 0

completesquare x^2+2x-99=0

co m pl e t es q u a re x^{2} + 2 x - 99 = 0

4 v^{2} + 4 = 40

(32-x)^2+(16-x)^2=x^2

(32 - x)^{2} + (16 - x)^{2} = x^{2}

5 x^{2} + 40 x = - 75