W^2-8w=9 complete the square and round to the nearest hundredth if necessary

w = 7, 1

Step-by-step explanation:

A perfect square is shown by a²-2ab+b²

If you substitute the question into the formula you get:

w² - (2*4*w) + 4²

Simplify and you get:

w²-8w+16=9

Factor:

(w-4) ²=9

Square Root both sides:

w-4=±3

w=7, w=1