Question

Complete the square 16x^2*y^2=81

Answer 1

To complete the square for the given equation, 16x^2*y^2 = 81:

First, divide both sides by 16 to isolate the squared terms:
x^2*y^2 = 81/16

Next, take the square root of both sides:
xy = ±√(81/16)

Now, let's simplify the right side:
xy = ±√(81/16)
xy = ±9/4

Finally, the completed square form of the given equation is:
(x*y)^2 = (9/4)^2