A quadratic equation is a polynomial equation of the second degree. The general form is ax2 + bx + c = 0.

 

Are you able to derive a quadratic equation when the roots don’t have fractions? For example, if the roots of a quadratic equation are 3 and 4, then you can derive the equation as follows:

 

1.     (x-3)(x-4) = 0

2.     x2 – 7x +12 = 0

 

What if one or more roots is a fraction? Well, the approach is the same. If the roots are 3 and -3/2, then you can derive the equation as follows:

 

1.     (x-3)(x-(-3/2) = 0

2.     x2 – (3/2)x +(9/2) = 0