Question

Q1.The value of k for which the equation x2
+2(k+1) x + k
2
= 0 has equal roots is

Answer 1

Step-by-step explanation:

x²+2(k+1)x+k

Let a=1,b=2(k+1), c=k

D=b²-4ac=0 (Discriminate)

{2(k+1)}²-4×1×k=0

(2k+2)²-4k=0

4k²+8k+4-4k=0

4k²+4k+4=0

k²+k+1=0