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the roots of this equation will be equal if B2-4ac=0
here p(x)= 4x2+2(k-4)x+2=0
a=4 b=2(k-2) c=2
(2(k-2))2- 4(4.2)=0
(2k-4)2-32=0
(2k-4)2=32
4k2-16k=16
k2-4k=4
k2-4k-4=0