Answer:
x=3+2×sqrt(3)
x=3-2×sqrt(3)
Step-by-step explanation:
2(x-3)²-24=0
2(x-3)²=24
(x-3)²=12
Case 1:
x-3=sqrt(12)=2×sqrt(3)
Case 2:
x-3=-sqrt(12)=-2×sqrt(3)