Question

Find the discriminant. 6t2–t–8=0 What type of solutions does the equation have?

Answer 1

For 6t^2 − t − 8 = 0, a = 6, b = −1, c = −8.

Discriminant D = b^2 − 4ac = (−1)^2 − 4(6)(−8) = 1 + 192 = 193.

Since D > 0 and not a perfect square, the equation has two distinct real irrational solutions:
t = (1 ± √193) / 12.