4(6-3x)^2+42=43

解

4 (6 - 3 x)^{2} + 42 = 43

x = \frac{11}{6}, x = \frac{13}{6}

十進法表記

x = 1.83333 \dots, x = 2.16666 \dots

解答ステップ

4 (6 - 3 x)^{2} + 42 = 43

42

を右側に移動します

4 (6 - 3 x)^{2} = 1

以下で両辺を割る

4

(6 - 3 x)^{2} = \frac{1}{4}

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

の場合, 解は

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

解く

6 - 3 x = \frac{1}{4} : x = \frac{11}{6}

解く

6 - 3 x = - \frac{1}{4} : x = \frac{13}{6}

二次equationの解:

x = \frac{11}{6}, x = \frac{13}{6}