Problem: The equation 3y2+y+4=2(6x2+y+2) where y=2x is satisfied by:
Answer Choices:
A. no value of x
B. all values of x
C. x=0 only
D. all integral values of x only
E. all rational values of x only
Solution:
Since y=2x,3y2+y+4=12x2+2x+4.
∴12x2+2x+4=12x2+4x+4;∴2x=4x;∴x=0.