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人気のある代数 >

x^2-x+3=4x^2-5

解

x^{2} - x + 3 = 4 x^{2} - 5

解

x = - \frac{1 + 97}{6}, x = \frac{97 - 1}{6}

+1

十進法表記

x = - 1.80814 \dots, x = 1.47480 \dots

解答ステップ

x^{2} - x + 3 = 4 x^{2} - 5

5

を左側に移動します

x^{2} - x + 8 = 4 x^{2}

4 x^{2}

を左側に移動します

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

解くとthe二次式

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

(- 1)^{2} - 4 (- 3) \cdot 8 = 97

x_{1, 2} = \frac{- ( - 1 ) \pm 97}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( - 1 ) + 97}{2 ( - 3 )}, x_{2} = \frac{- ( - 1 ) - 97}{2 ( - 3 )}

x = \frac{- ( - 1 ) + 97}{2 ( - 3 )} : - \frac{1 + 97}{6}

x = \frac{- ( - 1 ) - 97}{2 ( - 3 )} : \frac{97 - 1}{6}

二次equationの解:

x = - \frac{1 + 97}{6}, x = \frac{97 - 1}{6}

グラフ

人気の例

completesquare-x^2+3x-2

co m pl e t es q u a re - x^{2} + 3 x - 2

[f(a)]^2=3x^2-x+2

[f (a)]^{2} = 3 x^{2} - x + 2

- 4 x^{2} + 9 x - 3 = 0

-0.5x^2+3.2x+22=24

- 0.5 x^{2} + 3.2 x + 22 = 24

completesquare x-2x^2

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