Answer:
x= -1
Step-by-step explanation:
p= x² +4x -2 -----(1)
q= 2x -1 ------(2)
q -p= 2 -----(3)
Substitute (1) and (2) into (3):
2x -1 -(x² +4x -2)= 2
2x -1 -x² -4x +2= 2 (Expand bracket)
-x² -2x +1=2 (Simplify)
x² +2x +2 -1= 0 (Bring all terms to one side)
x² +2x +1= 0
(x +1)²= 0 (Factorise)
x +1= 0 (Square root both sides)
x= -1 (-1 on both sides)
