Find the value of k if the discriminant = 0?

x x23x+2+1k=0

1 Answer
Nov 10, 2017

k=4

Explanation:

The equation is x23x+2+1k=0

Here,

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

According to the question the discriminant is equal to 0

We know the determinant of a quadratic equation is b24ac

Therefore,

b24ac=0

b2=4ac

Substitute the values of a , b and c

(3)2=4×1×(2+1k)

9=8+4k

98=4k

1=4k

k=4