Find the values of k for which the roots are real and equal in each of the following equation:
The given quadric equation is `kx^2-2sqrt5x+4=0`, and roots are real and equal
Then find the value of k.
Here, a = k, `b=-2sqrt5`, and c = 4
As we know that D = b2 - 4ac
Putting the value of a = k, `b=-2sqrt5`, and c = 4
= 20 - 16k
The given equation will have real and equal roots, if D = 0
20 - 16k = 0
16k = 20
k = 20/16
k = 5/4
Therefore, the value of k = 5/4.