To find the sum of the roots of the equation |2x-3| = 4, we first need to solve for x.
When |2x-3| = 4, we have two possible equations:
Solving the first equation:2x - 3 = 42x = 7x = 7/2
Solving the second equation:-(2x - 3) = 4-2x + 3 = 4-2x = 1x = -1/2
Therefore, the two roots are x = 7/2 and x = -1/2.
The sum of the roots is (7/2) + (-1/2) = 6/2 = 3.
Therefore, the sum of the roots of the equation |2x-3| = 4 is 3.
To find the sum of the roots of the equation |2x-3| = 4, we first need to solve for x.
When |2x-3| = 4, we have two possible equations:
2x - 3 = 4-(2x-3) = 4Solving the first equation:
2x - 3 = 4
2x = 7
x = 7/2
Solving the second equation:
-(2x - 3) = 4
-2x + 3 = 4
-2x = 1
x = -1/2
Therefore, the two roots are x = 7/2 and x = -1/2.
The sum of the roots is (7/2) + (-1/2) = 6/2 = 3.
Therefore, the sum of the roots of the equation |2x-3| = 4 is 3.