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人気のある代数 >

0=-1/4 x^2-4/3 x+7

解

0 = - \frac{1}{4} x^{2} - \frac{4}{3} x + 7

解

x = - \frac{2 ( 4 + 79 )}{3}, x = \frac{2 ( 79 - 4 )}{3}

+1

十進法表記

x = - 8.59212 \dots, x = 3.25879 \dots

解答ステップ

0 = - \frac{1}{4} x^{2} - \frac{4}{3} x + 7

以下の最小公倍数を求める:

4, 3 : 12

以下で乗じる: LCM=

12

0 \cdot 12 = - \frac{1}{4} x^{2} \cdot 12 - \frac{4}{3} x \cdot 12 + 7 \cdot 12

簡素化

0 = - 3 x^{2} - 16 x + 84

辺を交換する

- 3 x^{2} - 16 x + 84 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 ( - 3 ) \cdot 84}{2 ( - 3 )}

(- 16)^{2} - 4 (- 3) \cdot 84 = 479

x_{1, 2} = \frac{- ( - 16 ) \pm 4 79}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( - 16 ) + 4 79}{2 ( - 3 )}, x_{2} = \frac{- ( - 16 ) - 4 79}{2 ( - 3 )}

x = \frac{- ( - 16 ) + 4 79}{2 ( - 3 )} : - \frac{2 ( 4 + 79 )}{3}

x = \frac{- ( - 16 ) - 4 79}{2 ( - 3 )} : \frac{2 ( 79 - 4 )}{3}

二次equationの解:

x = - \frac{2 ( 4 + 79 )}{3}, x = \frac{2 ( 79 - 4 )}{3}

グラフ

人気の例

120-92x+12x^2=0

120 - 92 x + 12 x^{2} = 0

x^{2} = \frac{5}{6} x - \frac{1}{6}

solvefor y,x^2+y^2=r^2

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

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

solvefor q,(x+q)^2=r

so l v e f or q, (x + q)^{2} = r