Find the value of k if the discriminant = 0?

x x^2 -3x+2+1/k=0

1 Answer
Nov 10, 2017

k=4

Explanation:

The equation is x^2-3x+2+1/k=0

Here,

a=1 , b=-3 , c=2+1/k

According to the question the discriminant is equal to 0

We know the determinant of a quadratic equation is b^2-4ac

Therefore,

b^2-4ac=0

b^2=4ac

Substitute the values of a , b and c

(-3)^2=4 xx 1 xx (2+1/k)

9=8+4/k

9-8=4/k

1=4/k

k=4