Tion of your knowledge on the nature of roots: Prove that the roots of x' +(1-k)x+k-3 = 0 are real for all real values of k​

The roots are not real.

Step-by-step explanation:

To prove : The roots of  I/2 +9 (1-k) are real for all real values of k ?Solution :

The roots are real when discriminant is greater than equal to zero.

i.e b2-4ac>0 But the roots are imaginary therefore the roots of the given equation are not real for any value of k.If x²+kx+k=0, find the value of k, If the roots are real & equal.​