Quadratic formula
Equations and inequalities · Mathematics
Study notes
Q: Solve 3x² + 5x - 2 = 0 using the formula. Step 1: a = 3, b = 5, c = -2. Step 2: Discriminant: 25 - 4(3)(-2) = 25 + 24 = 49. √49 = 7. Step 3: x = (-5 ± 7)/6. x = 2/6 = 1/3 or x = -12/6 = -2. Step 4: Check x = -2: 3(4) + 5(-2) - 2 = 12 - 10 - 2 = 0. ✓