Question

Calculate the discriminant and use it to determine how many real-number roots the equation has.

3x2 – 6x + 1 = 0

Answer 1

Discriminant=b²-4ac, where a=3, b=-6 and c=1.
The value of the discriminant is therefore 24.
Since 24>0, this means that the equation has 2 real roots.
This equation cannot be factorised so you must use the quadratic formula to find the roots.