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人気のある代数 >

3/2 x^2-4x-1=0

解

\frac{3}{2} x^{2} - 4 x - 1 = 0

解

x = \frac{4 + 22}{3}, x = \frac{4 - 22}{3}

+1

十進法表記

x = 2.89680 \dots, x = - 0.23013 \dots

解答ステップ

\frac{3}{2} x^{2} - 4 x - 1 = 0

以下で両辺を乗じる:

2

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

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 2) = 222

x_{1, 2} = \frac{- ( - 8 ) \pm 2 22}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 8 ) + 2 22}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 22}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 22}{2 \cdot 3} : \frac{4 + 22}{3}

x = \frac{- ( - 8 ) - 2 22}{2 \cdot 3} : \frac{4 - 22}{3}

二次equationの解:

x = \frac{4 + 22}{3}, x = \frac{4 - 22}{3}

グラフ

人気の例

x^{2} + 12 = 4 x

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

a x^{2} - a x + 8 = 0

x^{2} - 1 x - 3.75 = 0

completesquare x^2+4x+10

co m pl e t es q u a re x^{2} + 4 x + 10