The roots of the equation 2x^2 - 5x - 4 = 2x + 3 can be written in the form x = (m±sqrt n)/p, where m, n, and p are positive integers with a greatest common divisor of 1. What is the value of n?
2x2 - 5x - 4 = 2x + 3 ---> 2x2 - 7x - 7 = 0
Using the quadratic formula with a = 7 b = -7 and c = -7:
x = [ - -7 +/- sqrt( (-7)2 - 4(2)(-7) ) ] / [ (2)(2)
x = [ 7 +/- sqrt(105) ] / 4
