Question 816668
 2x^2-3x+4=o, what is 4r^2+7rs+4s^2

 4r^2+7rs+4s^2

in the quadratic ax^2+bx+c=0 if p & q are the root of the equation
p+q=-b/a
pq=c/a

Similarly 
in 2x^2-3x+4=o

r+s=3/2

rs=2

4r^2+7rs+4s^2

4r^2+8rs +4s^2 -8rs+7rs

(2r+2s)^2-rs

4(r+s)^2-rs

4(3/2)-2

6-2
=4