Answer :
w^2-8w=9
Let B= -8.
so we add (b/2)^2 =16 to both sides to complete the square
w^2-8w+16=9+16
w^2-8w+16=25
Step 2...Factor left side
(w-4)^2 =25
Step 3 Take the sqare root
w-4=± [tex]\sqrt{25[/tex]
Step 4 :Add 4 to both sides
w-4+4=4+[tex]\sqrt{25[/tex]
w=4± [tex]\sqrt{25}[/tex]
w=4+5 or w= 4-5
w=9 orv w= -1
Answer w= 9 or w = -1