Question

Find the discriminant. 3s2–9=0 What type of solutions does the equation have?

Answer 1

Interpret the equation as 3s^2 − 9 = 0, so a = 3, b = 0, c = −9.

Discriminant: D = b^2 − 4ac = 0^2 − 4(3)(−9) = 108.

Since D > 0, the equation has two distinct real solutions. Solving,
s = [−b ± √D]/(2a) = (±√108)/(6) = (±6√3)/6 = ±√3.