|5a+9|=|6a-3|

解

∣ 5 a + 9 ∣ = ∣ 6 a - 3 ∣

a = - \frac{6}{11} or a = 12

十進法表記

a = - 0.54545 \dots, a = 12

解答ステップ

∣ 5 a + 9 ∣ = ∣ 6 a - 3 ∣

正と負の区間を求める

a < - \frac{9}{5}, - \frac{9}{5} \leq a < \frac{1}{2}, a \geq \frac{1}{2}

各区間の不等式を解く

解なし or a = - \frac{6}{11} or a = 12

a = - \frac{6}{11} or a = 12