Understanding the Equation 49 = (XY)^2 - 3

The video tutorial explains how to solve the equation 49 = (XY - 3)^2 given that Y = 2 is a solution. It starts by recalling that both 7^2 and (-7)^2 equal 49. By substituting Y = 2, the equation becomes 49 = (2X - 3)^2. The tutorial then solves for X by setting 2X - 3 equal to 7 and -7, resulting in X values of 5 and -2, respectively.

What is the equation given in the problem?

• 49 = (XY)^2 - 3

• 49 = (XY)^2 + 3

• 49 = (XY)^2

• 49 = XY - 3

What are the possible values of (XY)^2 that equal 49?

• 49 and -49

• 7 and -7

• 0 and 49

• 7 and 49

What equation do we get after substituting y = 2?

• 49 = 2x - 3

• 49 = (2x)^2 + 3

• 49 = 2x + 3

• 49 = (2x)^2 - 3

What must 2x - 3 equal to solve the equation?

• 7 or -7

• 9 or -9

• 5 or -5

• 3 or -3

What are the possible values of x when y = 2?

• x = 4 or x = -4

• x = 5 or x = -2

• x = 3 or x = -3

• x = 7 or x = -7