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人気のある代数 >

4x^2-11x+1=0

解

4 x^{2} - 11 x + 1 = 0

解

x = \frac{11 + 105}{8}, x = \frac{11 - 105}{8}

+1

十進法表記

x = 2.65586 \dots, x = 0.09413 \dots

解答ステップ

4 x^{2} - 11 x + 1 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 4 \cdot 1}{2 \cdot 4}

(- 11)^{2} - 4 \cdot 4 \cdot 1 = 105

x_{1, 2} = \frac{- ( - 11 ) \pm 105}{2 \cdot 4}

解を分離する

x_{1} = \frac{- ( - 11 ) + 105}{2 \cdot 4}, x_{2} = \frac{- ( - 11 ) - 105}{2 \cdot 4}

x = \frac{- ( - 11 ) + 105}{2 \cdot 4} : \frac{11 + 105}{8}

x = \frac{- ( - 11 ) - 105}{2 \cdot 4} : \frac{11 - 105}{8}

二次equationの解:

x = \frac{11 + 105}{8}, x = \frac{11 - 105}{8}

グラフ

人気の例

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

x^{2} - 10 x - 3 = 5

solvefor x,x^2-2=0

so l v e f or x, x^{2} - 2 = 0

\frac{1}{2} x^{2} = \frac{x}{4} + 1

solvefor x,xy-x^2=2x

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