Question

the values of k for which the quadratic equation x2 - 2kx + 5k = 0 has equal roots are

(A) 0 only

(B) 5 only

(C) 0,5

Answer 1

If x^2 - 2kx + 5k = 0 has equal roots, its determinant will be 0.

b^2 - 4ac = 0

Or (-2k)^2 - 4×1×5k = 0

Or 4k^2 - 20k = 0

Or 4k(k-5) = 0

Or 4k = 0 ; k-5 = 0

Or k = 0; k = 5

Thus values of k can be 0 and 5

Your answer is C.

Answer 2

Step-by-step explanation:

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