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Given that the equation x ^(2) - (2a + b...

Given that the equation `x ^(2) - (2a + b ) x + (2a ^(2) + b ^(2) - b + (1)/(2)) = 0` has two real roots. The value of a and b is

A

a) `a=1/2 , b=1`

B

b) `a=-2, b= -1`

C

c) `a=2, b=-1`

D

d) `a=-1/2, b=1`

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