Question

4|3x|+5|3x|=8,1 help

Answer 1

Otvet

x= - 0.3

x= 0.3

Answer 2

To solve the equation |3x| + 5|3x| = 8, you'll need to consider two cases based on the absolute value expressions. Remember that |a| is equal to a if a is positive or zero, and it's equal to -a if a is negative.

Case 1: 3x is non-negative (3x ≥ 0) In this case, |3x| = 3x. Substituting into the equation:

3x + 5(3x) = 8 3x + 15x = 8 18x = 8 x = 8/18 x = 4/9

Case 2: 3x is negative (3x < 0) In this case, |3x| = -3x. Substituting into the equation:

-3x + 5(-3x) = 8 -3x - 15x = 8 -18x = 8 x = 8/(-18) x = -4/9

So, there are two solutions for x: x = 4/9 and x = -4/9.