6left|1-5xright|-9=57379 eching

$$6 \left| 1-5x \right| -9 = 57379$$

x uchun yechish

$$x = \frac{28697}{15} = 1913\frac{2}{15} \approx 1913,133333333$$

$$x = -\frac{28691}{15} = -1912\frac{11}{15} \approx -1912,733333333$$

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.

$$6|-5x+1|-9=57379$$

9 ni tenglamaning ikkala tarafiga qo'shish.

$$6|-5x+1|=57388$$

Ikki tarafini 6 ga bo‘ling.

$$|-5x+1|=\frac{28694}{3}$$

Absolyut qiymatning ifodasidan foydalanish.

$$-5x+1=\frac{28694}{3} -5x+1=-\frac{28694}{3}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$-5x=\frac{28691}{3} -5x=-\frac{28697}{3}$$

Ikki tarafini -5 ga bo‘ling.

$$x=-\frac{28691}{15} x=\frac{28697}{15}$$