Question

The roots of y in the equation of y2-2y=-9/2 are

Answer 1

Hello : 
y²-2y=-9/2
(y²-2y +1) -1  = -9/2
(y-1)² = -7/2
in : R  no solutions
in : C  two solutions 
y-1 =-(√7/2)i   or y-1 = (√7/2)i
y = 1  -(√7/2)i     or  y = 1+(√7/2) i    because : -7/2 =(7/2)i²... i² = -1