Mathematics 10 — Exercise 2.4 · Q4

Full question

4u²+8u+q=0 has equal real roots. Find q.

Step-by-step solution

1. Equal roots require b²−4ac = 0.

   $$64-16\times q=0$$

2. Factor or isolate the parameter.

   $$-16\times \left(q-4\right)=0$$

3. Solve this simpler equation.

   $$\left\{4\right\}$$

Answer

The final answer is shown below.