Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4

ANSWER

The quadratic function,


has no real roots.

EXPLANATION

We use the discriminant,



to determine the nature of the roots of a quadratic equation.

If we compare



to



Then



We substitute these values in to the formula for the discriminant, to obtain,





This implies that,



Since the discriminant is zero, the quadratic function,



has no real roots.