Answer:
x+y = 2.....(1)
y= (-1/4)x²+3...(2)
by (1) : y = -x+2
subsct in (2) : -x +2 =( -1/4)x²+3
-4x+8 = -x² +12
x²-4x - 4 =0
(x² -4x +4) -4 -4 =0
(x-2)² = 8 =(2√2)²
x-2 = 2√2 or x-2 = - 2√2
x= 2+ 2√2 or x= 2- 2√2
if : x= 2+ 2√2 .....y = -( 2+ 2√2 )+2 = - 2√2
if : x= 2- 2√2 .....y = -( 2- 2√2 )+2 = 2√2
two solutione : (2+ 2√2 , - 2√2 ) , (2- 2√2 , 2√2 )
