Mathematics 10 — Exercise 2.4 · Q3

Full question

16x²+7px+49=0 has equal roots. Find p.

Step-by-step solution

1. Equal roots require b²−4ac = 0.

   $$49\times p^2-3136=0$$

2. Factor or isolate the parameter.

   $$49\times \left(p-8\right)\times \left(p+8\right)=0$$

3. Solve this simpler equation.

   $$\{-8,8\}$$

Answer

The final answer is shown below.