The sum of all values of [0,2 ] satisfying 2 ^2 = 2 and 2 ^2 =3 is

Step-by-step solution

aligned & 2 ^2 = 2 & 2 ^2 =1-2 ^2 & 4 ^2 =1 & ^2 = 1 4 & = 1 2 & 2 ^2 =3 & 2-2 ^2 +3 -2=0 & (2 -1)(2 -2)=0 & = 1 2 aligned so common equation which satisfy both equations is = 1 2 = 6 , 5 6 ( [0,2 ]) Sum =