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Answer:
3k+1)x
2
−2(k+1)x+1=0
when D=0,then the equation real equal roots.
D=b
2
−4ac=0
⇒(−2(k+1))
2
−4(3k+1)(1)=0
⇒4(k+1)
2
−4(3k+1)=0
⇒k
2
+1+2k−3k−1=0
⇒k
2
−k=0
⇒k(k−1)=0
so k=0 or k=1
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