Answer :
Square both sides :
w^2=8w-12 hence w^2-8w+12=0
Discriminant : 64-4*12=16=4^2 hence the solutions could be (8-4)/2, (8+4)/2 which are w=2 and w=6
w^2=8w-12 hence w^2-8w+12=0
Discriminant : 64-4*12=16=4^2 hence the solutions could be (8-4)/2, (8+4)/2 which are w=2 and w=6
[tex]D:8w-12\geq0\\
D:8w\geq12\\
D:w\geq\dfrac{12}{8}\\
D:w\geq\dfrac{3}{2}\\\\
w=\sqrt{8w-12}\\
w^2=8w-12\\
w^2-8w+12=0\\
w^2-2w-6w+12=0\\
w(w-2)-6(w-2)=0\\
(w-6)(w-2)=0\\
w=6 \vee w=2[/tex]
