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人気のある代数 >

x^2-3(2x+1)=0

解

x^{2} - 3 (2 x + 1) = 0

解

x = 3 + 23, x = 3 - 23

+1

十進法表記

x = 6.46410 \dots, x = - 0.46410 \dots

解答ステップ

x^{2} - 3 (2 x + 1) = 0

拡張

x^{2} - 3 (2 x + 1) : x^{2} - 6 x - 3

x^{2} - 6 x - 3 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 3) = 43

x_{1, 2} = \frac{- ( - 6 ) \pm 4 3}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 6 ) + 4 3}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 3}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 3}{2 \cdot 1} : 3 + 23

x = \frac{- ( - 6 ) - 4 3}{2 \cdot 1} : 3 - 23

二次equationの解:

x = 3 + 23, x = 3 - 23

グラフ

人気の例

3902850x^2-6615000x+615475=0

3902850 x^{2} - 6615000 x + 615475 = 0

solvefor x,u=x^2-y^2

so l v e f or x, u = x^{2} - y^{2}

(x - 3)^{2} - 9 = 0

solvefor x,x^2+3e^y=3y^2+2xy

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

solvefor x,x^2=49

so l v e f or x, x^{2} = 49