6|1-x|=5 eching

$$6 | 1 - x | = 5$$

x uchun yechish

$$x = \frac{11}{6} = 1\frac{5}{6} \approx 1,833333333$$

$$x=\frac{1}{6}\approx 0,166666667$$

Absolyut qiymat ifodasidan foydalanish qadamlari

Teng belgisining bir tarafida va raqamning boshqa tarafida o'zgaruvchanni hisoblash uchun o'xshash hadlarni birlashtirish va tenglik xususiyatlaridan foydalanish.

$$6|-x+1|=5$$

Ikki tarafini 6 ga bo‘ling.

$$|-x+1|=\frac{5}{6}$$

Absolyut qiymatning ifodasidan foydalanish.

$$-x+1=\frac{5}{6} -x+1=-\frac{5}{6}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$-x=-\frac{1}{6} -x=-\frac{11}{6}$$

Ikki tarafini -1 ga bo‘ling.

$$x=\frac{1}{6} x=\frac{11}{6}$$