Question

for what value of k the roots of the equation x2-(2k-1)x+k2=0 are real

Answer 1

for real roots b2-4ac>=0
there gore (2k-1)2 -4 *1*k2>=0
4k2 +1-8k -4k2>=0
-8k>=-1
8k<=1
k<=(1/8)