A quadratic equation has degree 2.
ax² + bx + c = 0 (a ≠ 0)
2. Factorization Method (Step by Step)
Example: x² + 5x + 6 = 0
Step 1: Find two numbers whose sum = 5 and product = 6
Numbers are 2 and 3
Step 2: Split middle term
x² + 2x + 3x + 6 = 0
Step 3: Take common factors
x(x+2) + 3(x+2) = 0
Step 4: Write in bracket form
(x+2)(x+3)=0
Step 5: Solve
x = -2 , x = -3
3. Completing the Square (Step by Step)
Example: x² + 4x + 1 = 0
Step 1: Move constant
x² + 4x = -1
Step 2: Add (b/2)² = (4/2)² = 4 on both sides
x² + 4x + 4 = -1 + 4
Step 3: Write perfect square
(x+2)² = 3
Step 4: Take square root
x+2 = ±√3
Step 5: Solve
x = -2 ± √3
4. Quadratic Formula (Step by Step)
Example: 2x² - 3x - 2 = 0
Step 1: Identify values