In this guide, we'll walk through Solve: x² - 4x + 3 = 0 step by step. Whether you're revising for an exam or practising quadratic equations, this clear walkthrough will help you understand not just the answer, but the reasoning behind every step.

Quick Answer

x = 1 or x = 3

Step-by-Step Solution

Step 1: Identify a=1, b=-4, c=3

Step 2: Discriminant = 4

Step 3: Factor: (x - 1)(x - 3) = 0

Why This Works

This problem uses quadratic equations. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.

Common Mistakes to Avoid

Mistake 1: Forgetting to apply the same operation to both sides of the equation.

Mistake 2: Making sign errors when moving terms across the equals sign.

Mistake 3: Not simplifying the final answer completely.

Practice Similar Problems

Frequently Asked Questions

What is the answer to Solve: x² - 4x + 3 = 0?

x = 1 or x = 3

How do you solve quadratic equations problems?

This problem uses quadratic equations. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.