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人気のある代数 >

2x^2-8x=1

解

2 x^{2} - 8 x = 1

解

x = \frac{4 + 3 2}{2}, x = \frac{4 - 3 2}{2}

+1

十進法表記

x = 4.12132 \dots, x = - 0.12132 \dots

解答ステップ

2 x^{2} - 8 x = 1

1

を左側に移動します

2 x^{2} - 8 x - 1 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 ( - 1 )}{2 \cdot 2}

(- 8)^{2} - 4 \cdot 2 (- 1) = 62

x_{1, 2} = \frac{- ( - 8 ) \pm 6 2}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 8 ) + 6 2}{2 \cdot 2}, x_{2} = \frac{- ( - 8 ) - 6 2}{2 \cdot 2}

x = \frac{- ( - 8 ) + 6 2}{2 \cdot 2} : \frac{4 + 3 2}{2}

x = \frac{- ( - 8 ) - 6 2}{2 \cdot 2} : \frac{4 - 3 2}{2}

二次equationの解:

x = \frac{4 + 3 2}{2}, x = \frac{4 - 3 2}{2}

グラフ

人気の例

- 4 x^{2} - 19 = x

5 x^{2} + 2 x = 3

solvefor x,4x^2-4mx+5m=0

so l v e f or x, 4 x^{2} - 4 m x + 5 m = 0

- 6 x^{2} + 8 x - 5 = 0

x^{2} + 3 x = x + 2