Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
Choose the correct choice from the following answers:
A) 25x^2 + 4 = y^2
B) 75x^2 = 3y^2 - 12
C) 25x^2 = (y + 2)(y - 2)
D) 5x = y - 2
E) x^2 = (y^2 - 4)/25
Let's Solve the given equation first   25x^2 = y^2 - 4   i.e. (5x)^2 - y^2 = -4   i.e. y^2 - (5x)^2 = 4   Let's Check the Options:   A) 25x^2 + 4 = y^2   This equation can be re-written as   25x^2 = y^2 - 4 which is same as Equation given in question hence Option ELIMINATED   B) 75x^2 = 3y^2 - 12   Divide the equation by 3 on both sides, we get   25x^2 = y^2 - 4 which is same as Equation given in question hence Option ELIMINATED   C) 25x^2 = (y + 2)(y - 2)   This equation can be re-written as   25x^2 = y^2 -2y+2y - 4   i.e. 25x^2 = y^2 - 4 which is same as Equation given in question hence Option ELIMINATED   D) 5x = y - 2 Hence, The correct Answer Option   E) x^2 = (y^2 - 4)/25   Multiply the equation on both sides by 25   i.e. 25x^2 = y^2 - 4 which is same as Equation given in question hence Option ELIMINATE5x = y - 2   ANSWER:5x = y - 2
<result>D</result>
Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?