|x|=-1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.x≥0or
0≤x∧x<∞we get the equation
x+1=0after simplifying we get
x+1=0the solution in this interval:
x1=−1but x1 not in the inequality interval
2.x<0or
−∞<x∧x<0we get the equation
1−x=0after simplifying we get
1−x=0the solution in this interval:
x2=1but x2 not in the inequality interval
The final answer:
The graph
This equation has no roots
This equation has no roots