The value of k for which the equation below has equal roots x²+2(k+1)x+k²=0
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Answer:
Therefore, the value of k is (- 1/2).
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Given x
2
−2(k+1)x+k
2
=0 has real and equal roots
As we know that
for a quadratic equation to have real and equal roots ,discriminant should be zero
⟹(−2(k+1))
2
−4(1)(k
2
)=0
⟹(k+1)
2
−k
2
=0
⟹2k+1=0
⟹k=−
2
1
Step-by-step explanation:
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