How do you find the discriminant and how many solutions does #2x^2 - 6x +4 =0# have?

1 Answer
Apr 30, 2015

The discriminant of the quadratic equation #ax^2 +bx+c=0# is #b^2-4ac#.

Compare the given equation with the above equation and determine a=2, b=-6 and c=4. The discriminant would be 36-32= 4 When the discriminant is >0, the equation would have two real roots.

A quadratic equation has always two roots only and hence two solutions. If the discriminant is 0, the two roots are identical.