Question

when directed to solve a quadratic equation by completing the square, Sam arrived at the equation (x-(5/2))^2= (13/4). which equation could have been the original equation given to Sam?

Answer 1

We have the following expression:
 (x- (5/2)) ^ 2 = (13/4)
 Let's rewrite the given expression:
 x ^ 2 - 5x + 25/4 = (13/4)
 x ^ 2 - 5x + 25/4 - 13/4 = 0
 x ^ 2 - 5x + 12/4 = 0
 x ^ 2 - 5x + 3 = 0
 Answer:
 the original equation given to Sam could have been:
 x ^ 2 - 5x + 3 = 0