The quadratic equation $x^2-5x+5=-4x+7$ has two roots. Find the absolute difference of these roots.
x^2-5x+5 = -4x+7 rearramge as
x^2 - x - 2 = 0 factor as
(x - 2) ( x +1) = 0
The roots are 2 and -1
Absolute value difference of these roots = abs ( 2 - - 1) = abs (3) = 3
+1911 
