Q. 54.7( 16 Votes )

For what value of k are the roots of the quadratic equation kx(x –2√5) + 10 = 0 real and equal?

Answer :

Given equation is

Comparing with standard quadratic equation ax2 + bx + c = 0

Given that the roots of equation are real and equal

Thus D = 0

Discriminant D = b2 – 4ac = 0

20k2 – 40k = 0

20k(k – 2) = 0

20k = 0 or (k – 2) = 0

k = 0 or k = 2

The values of k are 0, 2 for which roots of the quadratic equation are real and equal.

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