the discrimnant of a²-2a+k=0is
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the discriminant of a^2-2a+k=0
b^2-4ac=0
(-2)^2-4(1)(k)=0
4-4k=0
4=4k
k=1
when k=1
the equation is a^2-2a+1
then discriminant=b^2-4ac
=(-2)^2-4(1)(1)
=4-4=0
therefore the nature of roots are having equal roots
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