Question

31. Product of all roots of the equation |x - 3| +2 |x + 1|= 4 is
& (a) 3/5
(b) 2
(C) -5/3
(d) 6​

Answer 1

Answer:

|x-3| + 2|x+1| = 4

=>|x-3| + |2x+2| = 4

=>|x-3+2x+2| = 4

=>|3x-1| = 4

=>3x-1 = +4 or -4

=>3x = +5 or -3

=>x = +5/3 or -1

product of roots=(5/3)×(-1) = (-5/3)

SO, OPTION (C) IS CORRECT