Solve the question 2w^2-8w-1 = (w-2) ^2

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