Mathematics 10 — Exercise 2.4 · Q5

Full question

mx²−8x+1=0 has equal real roots. Find m.

Step-by-step solution

1. Equal roots require b²−4ac = 0.

   $$64-4\times m=0$$

2. Factor or isolate the parameter.

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

3. Solve this simpler equation.

   $$\left\{16\right\}$$

Answer

The final answer is shown below.