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人気のある代数 >

16= 4/3 (8x+3)34(8x+3)

解

16 = \frac{4}{3} (8 x + 3) 34 (8 x + 3)

解

x = \frac{\frac{6}{17} - 3}{8}, x = \frac{- \frac{6}{17} - 3}{8}

+1

十進法表記

x = - 0.30073 \dots, x = - 0.44926 \dots

解答ステップ

16 = \frac{4}{3} (8 x + 3) \cdot 34 (8 x + 3)

辺を交換する

\frac{4}{3} (8 x + 3) \cdot 34 (8 x + 3) = 16

簡素化

\frac{136}{3} (8 x + 3)^{2} = 16

以下で両辺を乗じる:

3

3 \cdot \frac{136}{3} (8 x + 3)^{2} = 16 \cdot 3

136 (8 x + 3)^{2} = 48

以下で両辺を割る

136

\frac{136 ( 8 x + 3 ) ^{2}}{136} = \frac{48}{136}

(8 x + 3)^{2} = \frac{6}{17}

(g (x))^{2} = f (a)

の場合, 解は

g (x) = f (a), - f (a)

解く

8 x + 3 = \frac{6}{17} : x = \frac{\frac{6}{17} - 3}{8}

解く

8 x + 3 = - \frac{6}{17} : x = \frac{- \frac{6}{17} - 3}{8}

二次equationの解:

x = \frac{\frac{6}{17} - 3}{8}, x = \frac{- \frac{6}{17} - 3}{8}

グラフ

人気の例

x^{2} = 3 (x + 6)

x^{2} + 4 x - 12 = 9

4 t^{2} = 64

x^{2} - \frac{16}{256} = 0

2 x^{2} + 9 = - 4