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

1 Answer
bp
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.

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