Question

Решите уравнение 3 / 4|6х-3|+9,2=11
пж помогитее завтра соч по матем​

Answer 1

$\displaystyle \tt \frac{3}{4}\cdot|6x-3|+9,2=11\\\\ \displaystyle \tt \frac{3}{4}\cdot|6x-3|+\frac{46}{5}=11\:\:\:\:\:\:\bigg|\cdot20\\\\ \displaystyle \tt 15\cdot|6x-3|+184=220\\\\ \displaystyle \tt 15\cdot|6x-3|=220-184\\\\ \displaystyle \tt 15\cdot|6x-3|=36 \: \: \: \: \: \div15\\\\ \displaystyle \tt |6x-3|=\frac{12}{5}\\\\ \displaystyle \tt 6x-3=\frac{12}{5}\\\\ \displaystyle \tt \boxed{\bold{x_1=0,9}}\\\\ \displaystyle \tt 6x-3=-\frac{12}{5}\\\\ \displaystyle \tt \boxed{\bold{x_2=0,1}}$