Solve the quadratic equation x^2 - 5x + 6 = 0.
Answer and explanation
Correct answer: B. x = 2 or x = 3
- Step 1: Factorise: x^2 - 5x + 6 = (x - 2)(x - 3). Step 2. Set each factor to zero: x = 2 or x = 3. Answer: x = 2 or x = 3. Why not the others: x = -2 or x = -3 has the signs reversed, x = 1 or x = 6 gives a product of 6 but a sum of 7, and x = -1 or x = 6 gives a product of -6.
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