Question

Solve for x, if x + 3 |x| + 2 = 0
​

Answer 1

x={-1/2,1}

Step-by-step explanation:

given equation x+3|x|+2=0

we have 2 cases in the solution

1) when x> 0 and ii) when x<0

Note:- when x>0 ,|x|=x and when x<0 |x|= -x

now case-i

when x>0

=> x+3x+2=0

4x= -2

x= -2/4

x= -1/2

case-2

when x<0

=> x-3x+2=0

=> -2x+2=0

-2x=-2

x= -2/-2

x= 1

therefore x= {-1/2,1}