Question

1 Find the values of k for which the
following equations have peal and
equal roots
(i) x² - 2 (k+1)x + K²= 0​

Answer 1

Answer:

Here is the step by step explanation:-

Step-by-step explanation:

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=− 1/2

​

Answer 2

Answer:

$(x - \sqrt{x)} = k$

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