A trigonometry question? Help PLEASE:(?

The discriminant, D = b2 – 4ac is determined from the coefficients of the equation ax2 + bx + c = 0. The discriminant is derived from the quadratic equation and tells what type of roots exist:

For D < 0 - two zeros (roots) exist that are complex conjugates - answer (1)

For D = 0 - one real zero (root) exists - answer (2)

For D > 0 - two distinct real zeros (roots) exist - answer (3)

For D = positve perfect square - two distinct rational zeros (roots) - answer (4)

Therefore, the answer is (4), since (3) many not indicate "rational" roots.

The discriminant = 36.

Hope this helps!

B^2 - 4AC is the discriminant, which is the part of the equation under the square root, therefore in order to be real the discriminant must be greater than zero, in order to be rational it can not involve a square root, so the discriminant must be a perfect square.....6*6 = 36 is a perfect square so that is your answer

Real > 0

Equal = 0

Rational = 36

So, rational, real & unequal = 36