Answer:
Step-by-step explanation:
w= 7/4 +1/4 √89 OR w= 7/4 -1/4 √89
Step-by-step explanation:
2w^2-8w-1= (w-2)^2
Multiply (w-2)^2 by (-1)
2w^2-8w-1= -w+2^2
Add w to both sides
2w^2-7w-1= 4
Add 1 to both sides therefore that -1 cancels
2w^2-7w=5
Get the equation equal to 0 by subtracting 5 from both sides
2w^2-7w-5=0
Use the quadratic formula to solve
x= -(-7) plus or minus √(-7)-4(2)(-5)/2(2)
7 plus or minus √89/4
