Mathematics 10 — Exercise 2.4 · Q2

Full question

For which t are roots of 3x² + x + 9t = 0 real and unequal?

Step-by-step solution

1. Real unequal roots require D > 0.

   $$1-108\times t>0$$

2. Add 108t to both sides, then divide by positive 108.

   $$t<\frac{1}{108}$$

Answer

The final answer is shown below.