Answer:
a = -1 or 3
Step-by-step explanation:
( ax+3)²=36
We will let x =-3
( -3a+3)²=36
Take the square root of each side
sqrt( ( -3a+3)²)=±sqrt(36)
( -3a+3)=±6
-3a +3 = 6 -3a+3 = -6
Subtract 3 from each side
-3a +3-3 = 6-3 -3a+3-3 = -6-3
-3a = 3 -3a =-9
Divide by -3
-3a/-3 = 3/-3 -3a/-3 = -9/-3
a = -1 a =3
a can be either -1 or 3
