Question

For which value of k the quadratic equation kx2
-3x+k = 0 has real and equal roots?​

Answer 1

Answer:

Answer

For the equation kx

2

+x+k=0 to have equal zeros the discriminant must be zero.

Hence, 1−4k

2 =0

=>k 2 = 4

∴k=± 2/1

Answer 2

Answer:

If a equation has equal and real roots,

discriminant D shold be 0.

b²-4ac=0

in this equation kx²-3x+k=0

a=k;  b=-3;  c=k

b²-4ac = 0

=(-3)²- 4×k×k=0

=9-4k²          =0

          -4k²  =  -9

           4k²  = 9

              k²  = 9/4

              k = √9 / √4

              k =3/2

therefore value of k is 3/2 for the given condition.